Nonlinear degenerate elliptic equations in weighted Sobolev spaces

We study the existence of solutions for the nonlinear degenerated elliptic problem $$\displaylines{ -\operatorname{div} a(x,u,\nabla u)=f \quad\text{in } \Omega,\cr u=0 \quad\text{on }\partial\Omega, }$$ where $\Omega$ is a bounded open set in $\mathbb{R}^N$, $N\geq2$, a is a Caratheodory fu...

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Bibliographic Details
Main Authors: Aharrouch Benali, Bennouna Jaouad
Format: Article
Language:English
Published: Texas State University 2020-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/105/abstr.html