A Sharp Inequality of J. Moser for Higher Order Derivatives, The Annals of Mathematics, vol.128, issue.2, pp.385-398, 1988. ,
DOI : 10.2307/1971445
Sobolev spaces, 1975. ,
Principal Eigenvalues for Indefinite-Weight Elliptic Problems in R n, Proc. Amer, pp.701-706, 1992. ,
DOI : 10.2307/2159436
Eigenvalues of the indefinite weight p-Laplacian in weighted spaces, Funk. Ekva, vol.38, pp.233-242, 1995. ,
A Picone's identity for the p-Laplacian and applications, Nonlinear Analysis: Theory, Methods & Applications, vol.32, issue.7, pp.819-830, 1998. ,
DOI : 10.1016/S0362-546X(97)00530-0
Dual variational methods in critical point theory and applications, Journal of Functional Analysis, vol.14, issue.4, pp.349-381, 1973. ,
DOI : 10.1016/0022-1236(73)90051-7
Équations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire, J. Math. Pures Appl, vol.55, pp.269-296, 1976. ,
Probl??mes isop??rim??triques et espaces de Sobolev, Journal of Differential Geometry, vol.11, issue.4, pp.573-598, 1976. ,
DOI : 10.4310/jdg/1214433725
Meilleures constantes dans le th??or??me d'inclusion de Sobolev et un th??or??me de Fredholm non lin??aire pour la transformation conforme de la courbure scalaire, Journal of Functional Analysis, vol.32, issue.2, pp.148-174, 1979. ,
DOI : 10.1016/0022-1236(79)90052-1
A Sobolev-Hardy Inequality with??Applications to a Nonlinear Elliptic Equation??arising in Astrophysics, Archive for Rational Mechanics and Analysis, vol.163, issue.4, pp.259-293, 2002. ,
DOI : 10.1007/s002050200201
Fourier analysis and applications to nonlinear partial differential equations. En préparation ,
In??galit??s de Hardy pr??cis??es, Comptes Rendus Mathematique, vol.341, issue.2, pp.89-92, 2005. ,
DOI : 10.1016/j.crma.2005.05.015
TRACE AND TRACE LIFTING THEOREMS IN WEIGHTED SOBOLEV SPACES, Journal of the Institute of Mathematics of Jussieu, vol.4, issue.04, pp.509-552, 2005. ,
DOI : 10.1017/S1474748005000150
URL : https://hal.archives-ouvertes.fr/hal-00112068
Phase Space Analysis of Partial Differential Equations, of Progr. Nonlinear Differential Equations Appl., chapter Trace theorem on the Heisenberg group on homogeneous hypersurfaces, pp.1-15, 2007. ,
Paraproduit sur le groupe de Heisenberg et applications, Revista Matem??tica Iberoamericana, vol.17, issue.1, pp.69-105, 2001. ,
DOI : 10.4171/RMI/289
Espaces de Besov et estimations de Strichartz g??n??ralis??es sur le groupe de Heisenberg, Journal d'Analyse Math??matique, vol.42, issue.1, pp.93-118, 2000. ,
DOI : 10.1007/BF02791223
The heat equation with a singular potential, Transactions of the American Mathematical Society, vol.284, issue.1, pp.121-139, 1984. ,
DOI : 10.1090/S0002-9947-1984-0742415-3
A unified approach to improved L p Hardy inequalities with best constants, Transactions of the American Mathematical Society, vol.356, issue.06, pp.2169-2196, 2004. ,
DOI : 10.1090/S0002-9947-03-03389-0
Uniforms hypoelliptic Green's functions, Journal de Math??matiques Pures et Appliqu??es, vol.77, issue.3, pp.209-248, 1998. ,
DOI : 10.1016/S0021-7824(98)80069-X
Green's Functions for Some Highly Degenerate Elliptic Operators, Journal of Functional Analysis, vol.165, issue.2, pp.407-429, 1999. ,
DOI : 10.1006/jfan.1999.3421
The Green Function of Model Step Two Hypoelliptic Operators and the Analysis of Certain Tangential Cauchy Riemann Complexes, Advances in Mathematics, vol.121, issue.2, pp.288-345, 1996. ,
DOI : 10.1006/aima.1996.0054
On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians, Mathematische Nachrichten, vol.3, issue.1, pp.81-163, 1996. ,
DOI : 10.1002/mana.3211810105
Mathematical Problems from Combustion Theory, Math. Sci, vol.83, 1989. ,
DOI : 10.1007/978-1-4612-4546-9
Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality, The Annals of Mathematics, vol.138, issue.1, pp.213-242, 1993. ,
DOI : 10.2307/2946638
The tangent space in sub-Riemannian geometry, Progress in Maths, vol.144, pp.1-78, 1996. ,
Interpolation spaces, An Introduction, 1976. ,
Measure Theory, 2006. ,
DOI : 10.1007/978-3-540-34514-5
Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées, Ann. Inst. Fourier, vol.19, pp.227-304, 1969. ,
Espaces fonctionnels associ??s au calcul de Weyl-H??rmander, Bulletin de la Société mathématique de France, vol.122, issue.1, pp.77-118, 1994. ,
DOI : 10.24033/bsmf.2223
Analyse fonctionnelle : théorie et applications, 1999. ,
Free vibrations for a nonlinear wave equation and a theorem of P. Rabinowitz, Communications on Pure and Applied Mathematics, vol.31, issue.5, pp.667-684, 1980. ,
DOI : 10.1002/cpa.3160330507
On a semilinear elliptic equation with inverse-square potential, Selecta Mathematica, vol.11, issue.1, pp.1-7, 2005. ,
DOI : 10.1007/s00029-005-0003-z
Hardy's inequalities revisited, Ann. Scuola Norm. Sup. Pisa Cl. Sci, issue.12, pp.217-237, 1998. ,
Positive solutions of nonlinear elliptic equations involving critical sobolev exponents, Communications on Pure and Applied Mathematics, vol.22, issue.4, pp.437-477, 1983. ,
DOI : 10.1002/cpa.3160360405
A minimization problem with critical exponent and non-zero data, Symmetry in nature, pp.129-140, 1989. ,
Blow-up solutions of some nonlinear elliptic equations, Rev. Mat. Complut, vol.10, pp.443-469, 1997. ,
Existence versus explosion instantan??e pour des ??quations de la chaleur lin??aires avec potentiel singulier, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.329, issue.11, pp.973-978, 1999. ,
DOI : 10.1016/S0764-4442(00)88588-2
Fundamental solutions and geometry of the sum of squares of vector fields, Inventiones Mathematicae, vol.137, issue.1, pp.143-160, 1984. ,
DOI : 10.1007/BF01388721
Calcul de Weyl et op??rateurs sous elliptiques, Annales de l???institut Fourier, vol.43, issue.4, pp.1157-1178, 1993. ,
DOI : 10.5802/aif.1367
An embedding theorem and the harnack inequality for nonlinear subelliptic equations, Communications in Partial Differential Equations, vol.18, issue.9, pp.9-101765, 1993. ,
DOI : 10.1080/03605309308820992
The geometric Sobolev embedding for vector fields and the isoperimetric inequality, Communications in Analysis and Geometry, vol.2, issue.2, pp.203-215, 1994. ,
DOI : 10.4310/CAG.1994.v2.n2.a2
Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations, Amer. J. Math, vol.118, issue.6, pp.1153-1196, 1996. ,
An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem, 2007. ,
On the existence of an extremal function for an inequality of, J. Moser. Bull. Sc. Math, vol.110, pp.113-127, 1986. ,
Some existence results for superlinear elliptic boundary value problems involving critical exponents, Journal of Functional Analysis, vol.69, issue.3, pp.289-306, 1986. ,
DOI : 10.1016/0022-1236(86)90094-7
Harmonic Analysis and Subriemannian Geometry on Heisenberg Groups, Bull. Inst. Maths. Ac, vol.30, issue.3, pp.153-190, 2002. ,
Morse theory on banach space and its applications to partial differential equations, Chin. Ann. of Math, vol.4, pp.381-399, 1983. ,
Équations différentielles ordinaires et aux dérivées partielles, 1998. ,
Existence of positive solutions of some semilinear elliptic equations with singular coefficients, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.131, issue.06, pp.1275-1295, 2001. ,
DOI : 10.1017/S0308210500001396
Existence of solutions for a nonlinear PDE with an inverse square potential, Journal of Differential Equations, vol.195, issue.2, pp.497-519, 2003. ,
DOI : 10.1016/S0022-0396(03)00093-7
On a semilinear elliptic equation with singular term and Hardy???Sobolev critical growth, Mathematische Nachrichten, vol.1, issue.8, pp.838-850, 2007. ,
DOI : 10.1002/mana.200410517
Best constants for Moser-Trudinger inequalities on the Heisenberg group, Indiana University Mathematics Journal, vol.50, issue.4, pp.1567-1591, 2001. ,
DOI : 10.1512/iumj.2001.50.2138
Best Constants for Moser-Trudinger Inequalities, Fundamental Solutions and One-Parameter Representation Formulas on Groups of Heisenberg Type, Acta Mathematica Sinica, English Series, vol.106, issue.2, pp.375-390, 2002. ,
DOI : 10.1007/s101140200159
Isolated invariant sets and the Morse index. Number 38. CBMS regional conf, Ser. in Math, 1978. ,
Trace inequalities for Carnot- Carathéodory spaces and applications, Annali della Scuola Normale Superiore di Pisa, pp.195-252, 1998. ,
Heat Kernels and Spectral Theory, Cambridge Tracts in Mathematics, vol.92, 1989. ,
DOI : 10.1017/CBO9780511566158
THE HARDY CONSTANT, The Quarterly Journal of Mathematics, vol.46, issue.4, pp.46417-431, 1995. ,
DOI : 10.1093/qmath/46.4.417
Spectral theory and differential operators, Number 42. UK, 1995. ,
DOI : 10.1017/CBO9780511623721
Bound states of the Dirac equation for a class of effective quadratic plus inversely quadratic potentials, Annals of Physics, vol.311, issue.1, pp.170-181, 2004. ,
DOI : 10.1016/j.aop.2003.12.007
Un probl??me aux limites pour une classe d'op??rateurs du second ordre hypoelliptiques, Annales de l???institut Fourier, vol.21, issue.4, pp.99-148, 1971. ,
DOI : 10.5802/aif.395
Rate of approach to a singular steady state in quasilinear reaction-diffusion equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.26, pp.663-687, 1998. ,
A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem, Journal of Inequalities and Applications, vol.2007, issue.1, 2007. ,
DOI : 10.1016/0362-546X(92)90023-8
Degrés topologiques et applications, 2006. ,
Analyse sur les groupes de Lie : Une introduction, 2006. ,
Deux cours d'analyse harmonique, Progress in Mathematics , Birkhäuser, 1984. ,
Existence of Solutions for Singular Critical Growth Semilinear Elliptic Equations, Journal of Differential Equations, vol.177, issue.2, pp.494-522, 2001. ,
DOI : 10.1006/jdeq.2000.3999
Sharp Two???Sided Heat Kernel Estimates for Critical Schr??dinger Operators on Bounded Domains, Communications in Mathematical Physics, vol.182, issue.3???4, pp.237-281, 2007. ,
DOI : 10.1007/s00220-007-0253-z
A fundamental solution for a subelliptic operator, Bulletin of the American Mathematical Society, vol.79, issue.2, pp.373-376, 1973. ,
DOI : 10.1090/S0002-9904-1973-13171-4
Subelliptic estimates and function spaces on nilpotent Lie groups, Arkiv f??r Matematik, vol.13, issue.1-2, pp.161-207, 1975. ,
DOI : 10.1007/BF02386204
Harmonic analysis in phase space, 1989. ,
Estimates for the complex and analysis on the heisenberg group, Communications on Pure and Applied Mathematics, vol.79, issue.4, pp.429-522, 1974. ,
DOI : 10.1002/cpa.3160270403
Hardy Spaces on Homogeneous Groups, 1982. ,
Degree theory in analysis and applications, 1995. ,
Sharp borderline Sobolev inequalities on compact Riemannian manifolds, Commentarii Mathematici Helvetici, vol.68, issue.1, pp.415-454, 1993. ,
DOI : 10.1007/BF02565828
Frequency functions on the Heisenberg group, the uncertainty principle and unique continuation, Annales de l???institut Fourier, vol.40, issue.2, pp.313-356, 1990. ,
DOI : 10.5802/aif.1215
Regularity near the characteristic set in the non-linear Dirichlet problem and conformal geometry of sub-Laplacians on Carnot groups, Mathematische Annalen, vol.318, issue.3, pp.453-516, 2000. ,
DOI : 10.1007/s002080000127
Symmetry properties of positive entire solutions of Yamabe-type equations on groups of Heisenberg type, Duke Math. J, vol.106, issue.3, pp.411-448, 2001. ,
Fourier analysis on the Heisenberg group, Proceding Nat Acad Sciences U.S.A, pp.1328-1331, 1977. ,
DOI : 10.1073/pnas.74.4.1328
Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponants, Transactions of the American Mathematical Society, vol.352, issue.12, pp.5703-5743, 2000. ,
DOI : 10.1090/S0002-9947-00-02560-5
On a Degenerate Heat Equation with a Singular Potential, Journal of Functional Analysis, vol.186, issue.2, pp.342-359, 2001. ,
DOI : 10.1006/jfan.2001.3792
A history of the calculus of variations. From the 17th centry through the 19th centry, 1980. ,
A fundamental solution for a nonelliptic partial differential operator. Canad, J. Math, vol.31, pp.1107-1120, 1979. ,
Carnot-Carath??odory spaces seen from within, Sub-Riemannian Geometry edition, 1996. ,
DOI : 10.1007/978-3-0348-9210-0_2
Pointwise hardy inequalities, Proc. Amer, pp.417-423, 1999. ,
Sobolev met Poincaré. Memoirs Amer, Math. Soc, vol.145, pp.1-101, 2000. ,
Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group, Abstract and Applied Analysis, vol.2004, issue.2, pp.155-164, 2004. ,
DOI : 10.1155/S108533750430802X
Systems of semilinear higher-order evolution inequalities on the Heisenberg group, Journal of Mathematical Analysis and Applications, vol.280, issue.1, pp.77-90, 2003. ,
DOI : 10.1016/S0022-247X(03)00030-1
Hardy-Sobolev type inequalities on the H-type group, manuscripta mathematica, vol.336, issue.2, pp.235-252, 2005. ,
DOI : 10.1007/s00229-005-0589-7
Calculus on carnot groups, Fall School in Analysis, vol.68, pp.1-31, 1995. ,
Lectures on analysis on metric spaces, 2001. ,
DOI : 10.1007/978-1-4613-0131-8
Hypoelliptic second order differential equations, Acta Math, pp.147-171, 1967. ,
Eigenvalues of the p-laplacian in R n with indefinite weight, Comment. Math. Univ. Carolinae, vol.36, pp.519-527, 1995. ,
The Role Played by Space Dimension in Elliptic Critical Problems, Journal of Differential Equations, vol.156, issue.2, pp.407-426, 1999. ,
DOI : 10.1006/jdeq.1998.3589
The Dirichlet problem for the Kohn Laplacian on the Heisenberg group, I, Journal of Functional Analysis, vol.43, issue.1, pp.97-142, 1981. ,
DOI : 10.1016/0022-1236(81)90040-9
The Poincaré inequality for vector fields satisfying Hörmander's condition. Duke Math, J, vol.53, pp.503-523, 1986. ,
The Yamabe problem on CR manifolds, Journal of Differential Geometry, vol.25, issue.2, pp.167-197, 1987. ,
DOI : 10.4310/jdg/1214440849
Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem, Journal of the American Mathematical Society, vol.1, issue.1, pp.1-13, 1988. ,
DOI : 10.1090/S0894-0347-1988-0924699-9
Fundamental solutions for a class of hypoelliptic PDE generated by composition of quadratic forms, Transactions of the American Mathematical Society, vol.258, issue.1, pp.147-153, 1980. ,
DOI : 10.1090/S0002-9947-1980-0554324-X
Pseudo-Differential Operators and Non-Elliptic Problems, pp.157-165, 1969. ,
DOI : 10.1007/978-3-642-11074-0_6
On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients, Applicable Analysis, vol.10, issue.5, 2005. ,
DOI : 10.1016/S0362-546X(03)00062-2
Sharp hardy type inequalities on Carnot groups, 2005. ,
Sharp weighted Hardy-type and uncertainty principle inequality on Carnot groups, 2005. ,
On the Poincar?? inequality for vector fields, Arkiv f??r Matematik, vol.38, issue.2, pp.327-342, 2000. ,
DOI : 10.1007/BF02384323
Fundamentals of differential geometry, 1999. ,
DOI : 10.1007/978-1-4612-0541-8
Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities, The Annals of Mathematics, vol.118, issue.2, pp.349-373, 1983. ,
DOI : 10.2307/2007032
The concentration-compactness principle in the calculus of variations. The limit case, part 1, Rev. Mat. Iberoamericana, vol.1, pp.145-201, 1985. ,
Improved Sobolev inequalities on the Heisenberg group, Nonlinear Analysis: Theory, Methods & Applications, vol.62, issue.5, pp.953-962, 2005. ,
DOI : 10.1016/j.na.2005.04.015
Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications, Rev. Mat. Iberoamericana, vol.8, issue.3, pp.367-439, 1992. ,
Differentiability and area formula on stratified Lie groups, Houston J. Math, vol.27, issue.2, pp.297-323, 2001. ,
On the best constant for Hardy's inequality in R n, Transactions of the American Mathematical Society, vol.350, issue.08, pp.3237-3255, 1998. ,
DOI : 10.1090/S0002-9947-98-02122-9
The best possible constant in generalized Hardy's inequality for convex domain in rn, Nonlinear Analysis: Theory, Methods & Applications, vol.28, issue.9, pp.1601-1610, 1997. ,
DOI : 10.1016/S0362-546X(96)00004-1
Critical points of convex perturbations of some indefinite quadratic forms and semi-linear boundary value problems at resonance, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol.3, issue.6, pp.431-453, 1986. ,
DOI : 10.1016/S0294-1449(16)30376-6
Global heat kernel bounds via desingularizing weights, Journal of Functional Analysis, vol.212, issue.2, pp.373-398, 2004. ,
DOI : 10.1016/j.jfa.2003.12.008
Morse theory, 1963. ,
Semi-linear sub-elliptic equations on the Heisenberg group with a singular potential, Communications on Pure and Applied Analysis, vol.8, issue.5, pp.1619-1636, 2009. ,
DOI : 10.3934/cpaa.2009.8.1619
URL : https://hal.archives-ouvertes.fr/hal-00315641
Espaces de Sobolev et introduction aux équations aux dérivées partielles, 2007. ,
The wave equation on the heisenberg group, Communications in Partial Differential Equations, vol.24, issue.4, pp.675-714, 1982. ,
DOI : 10.1080/03605308208820236
Balls and metrics defined by vector fields I: Basic properties, Acta Mathematica, vol.155, issue.0, pp.103-147, 1985. ,
DOI : 10.1007/BF02392539
Variational and topological methods in nonlinear problems, Bull. Amer. Math. Soc, vol.37, pp.267-302, 1981. ,
Hardy type and Rellich type inequalities on the Heisenberg group, Proc. Amer, pp.3623-3630, 2001. ,
Second order equations with non-negative characterisitic form, 1973. ,
Lusternik-Schnirelman theory on Banach manifolds, Topology, vol.5, issue.2, pp.115-132, 1966. ,
DOI : 10.1016/0040-9383(66)90013-9
A generalized Morse theory, Bulletin of the American Mathematical Society, vol.70, issue.1, pp.165-171, 1964. ,
DOI : 10.1090/S0002-9904-1964-11062-4
Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un, The Annals of Mathematics, vol.129, issue.1, pp.1-60, 1965. ,
DOI : 10.2307/1971484
Eigenfunctions of the equation ?u + ?f (u) = 0, Soviet Math. Doklady, vol.6, pp.1408-1411, 1965. ,
Variational Methods for Nonlinear Eigenvalue Problems, CIME Ceremonese, pp.140-195, 1974. ,
DOI : 10.1007/978-3-642-10940-9_4
A note on topological degree for potential operators, Journal of Mathematical Analysis and Applications, vol.51, issue.2, pp.483-492, 1975. ,
DOI : 10.1016/0022-247X(75)90134-1
Some critical point theorems and applications to semilinear elliptic partial differential equations, Ann. Scuola Norm. Pisa, vol.5, pp.412-424, 1977. ,
Some critical point theorems and applications to semilinear elliptic partial differential equations, Ann. Scuola Norm. Pisa, vol.5, pp.215-223, 1978. ,
Some minimax theorems and applications to nonlinear partial differential equations. Nonlinear Analysis, pp.161-177, 1978. ,
Minimax methods in critical point theory with applications to differential equations, Conference Series in Mathematics. AMS, vol.65, 1986. ,
DOI : 10.1090/cbms/065
Methods of Modern Mathematical Physics, volume II, 1979. ,
Perturbation theory of eigenvalue problems, 1969. ,
Hypoelliptic differential operators and nilpotent groups, Acta Mathematica, vol.137, issue.0, pp.247-320, 1976. ,
DOI : 10.1007/BF02392419
Generalizing the Lusternik-Schnirelman theory of critical points, Communications on Pure and Applied Mathematics, vol.54, issue.3, pp.307-315, 1964. ,
DOI : 10.1002/cpa.3160170304
An introduction to Heisenberg groups in analysis and geometry. Notices Amer, Math. Soc, vol.50, issue.6, pp.640-646, 2003. ,
Morse theory and nonlinear generalization of the Dirichlet problem, Ann. Math, vol.17, pp.307-315, 1964. ,
Harmonic Analysis. Real variable methods, orthogonality and oscillatory integrals, 1993. ,
Variational methods : applications to nonlinear partial differential equations and Hamiltonian systems, 2008. ,
Best constant in Sobolev inequality, Annali di Matematica Pura ed Applicata, Series 4, vol.110, issue.1, pp.353-372, 1976. ,
DOI : 10.1007/BF02418013
A history of the calculus of variations during the nineteenth centry, 1962. ,
Une courte démonstration de la formule de Campbell-Hausdorff, Journal of Lie Theory, vol.14, pp.501-508, 2004. ,
Fonctions harmoniques sur les groupes de Lie, C. R. Acad. Sci. Paris Sér. I Math, vol.304, issue.17, pp.519-521, 1987. ,
The Hardy Inequality and the Asymptotic Behaviour of the Heat Equation with an Inverse-Square Potential, Journal of Functional Analysis, vol.173, issue.1, pp.103-153, 2000. ,
DOI : 10.1006/jfan.1999.3556
Localisation et décroissance des champs de la mécanique des fluides et des plasmas Espaces fonctionnels associés à une famille de champs de vecteurs, 2006. ,
Existence of solutions for a nonlinear elliptic Dirichlet boundary value problem with an inverse square potential. Boundary Value Problems, pp.1-7, 2006. ,
Harmonic analysis on commutative spaces. Providence, 2007. ,
A history of the calculus of variations in the eighteenth centry, 1964. ,
On Harnack's inequality for second-order degenerate elliptic operators, Chinese Ann. Math. Ser. A, vol.10, pp.359-365, 1989. ,
Semilinear subelliptic equations and Sobolev inequality for vector fields satisfying Hörmander's condition. Chinese Ann, Math. Ser. A, vol.15, pp.183-192, 1994. ,
The dirichlet problems for a class of semilinear sub-elliptic equations, Nonlinear Analysis: Theory, Methods & Applications, vol.37, issue.8, pp.1039-1049, 1999. ,
DOI : 10.1016/S0362-546X(97)00722-0
Hardy-type inequalities and Pohozaev-type identities for a class of -degenerate subelliptic operators and applications, Nonlinear Analysis: Theory, Methods & Applications, vol.54, issue.1, pp.165-186, 2003. ,
DOI : 10.1016/S0362-546X(03)00062-2
Weakly Differentiable Functions, 1989. ,
DOI : 10.1007/978-1-4612-1015-3