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Theses

Quelques résultats sur les systèmes d'équations aux dérivées partielles faisant intervenir l'opérateur p-Laplacien.

Abstract : In this work we study some systems of partial differential equations involving the operator $p$-Laplacian ($ \Delta_p u = div(|\nabla u|^{p-2} \nabla u) $). This elliptic and degenerate operator appears in a lot of problems as well in fondamental mathematics as in experimental sciences. We have studied some properties of solutions for these systems. We have generalized, in this thesis, a very useful tool to approach this kind of partial differential equations. We have employed this tool to obtain some existence and uniqueness results under different conditions of growth for the nonlinearities. A part of this thesis have been also dedicated to the study of the asymptotic behavior of solutions for systems depending on a parameter.
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https://tel.archives-ouvertes.fr/tel-00001828
Contributor : Karim Chaib <>
Submitted on : Thursday, October 17, 2002 - 4:42:50 PM
Last modification on : Friday, January 10, 2020 - 9:08:06 PM
Long-term archiving on: : Tuesday, September 11, 2012 - 6:10:53 PM

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  • HAL Id : tel-00001828, version 1

Citation

Karim Chaib. Quelques résultats sur les systèmes d'équations aux dérivées partielles faisant intervenir l'opérateur p-Laplacien.. Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2002. Français. ⟨tel-00001828⟩

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