# 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.
Keywords :
Document type :
Theses
Mathématiques [math]. Université de Toulouse, 2009. Français
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Contributor : Kamel Saoudi <>
Submitted on : Friday, September 4, 2009 - 1:26:58 PM
Last modification on : Friday, September 4, 2009 - 1:28:12 PM
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• HAL Id : tel-00412365, version 2

### Citation

Kamel Saoudi. Étude de Quelques Problèmes Quasilinéaires Elliptiques Singuliers. Mathématiques [math]. Université de Toulouse, 2009. Français. <tel-00412365v2>

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