Étude de Quelques Problèmes Quasilinéaires Elliptiques Singuliers

Abstract : This thesis concerns the study of some singular elliptic problems. In these problems the singularity is due to a nonlinear term that blows up on the boundary. More precisely, in Chapter 2, we investigate the question of multiplicity of solutions for a singular problem with critical growth in dimension $N \geq 3$. In Chapter 3, we investigate the validity of $C^1$ versus $W^{1,p}_0$ energy minimizers for a quasilinear elliptic singular problem. In Chapter 4, we present global bifurcation results for a semilinear elliptic singular problem with critical growth in dimension 2 with exponential growth.
Document type :
Theses
Mathematics. Université de Toulouse, 2009. French
Domain :


https://tel.archives-ouvertes.fr/tel-00412365
Contributor : Kamel Saoudi <>
Submitted on : Friday, September 4, 2009 - 1:26:58 PM
Last modification on : Friday, September 4, 2009 - 1:28:12 PM

Identifiers

  • HAL Id : tel-00412365, version 2

Collections

Citation

Kamel Saoudi. Étude de Quelques Problèmes Quasilinéaires Elliptiques Singuliers. Mathematics. Université de Toulouse, 2009. French. <tel-00412365v2>

Export

Share

Metrics

Consultation de
la notice

120

Téléchargement du document

81