Existence of solutions for a class of degenerate elliptic equations in \(P(x)\)-Sobolev spaces

DOI10.12775/TMNA.2017.065MaRDI QIDQ1668819

Mohamed Boukhrij, Benali Aharrouch, Jouad Bennouna

Publication date: 29 August 2018

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1527127323

zbMATH Keywords

degenerate elliptic equationsSobolev spaces with variable exponentStampacchia methodsweak and entropy solutions

Mathematics Subject Classification ID

Related Items (3)

Existence and uniqueness of entropy solution of a nonlinear elliptic equation in anisotropic Sobolev-Orlicz space ⋮ Existence and regularity results for nonlinear and nonhomogeneous elliptic equation ⋮ Existence and uniqueness of solution for a unilateral problem in Sobolev spaces with variable exponent

Cites Work

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• Existence of solutions for degenerate quasilinear elliptic equations
• Réarrangement relatif dans les équations elliptiques quasi- linéaires avec un second membre distribution: Application à un théorème d'existence et de régularité. (Relative rearrangement in quasilinear elliptic equations with distributional right side: Application to an existence theorem and to regularity)
• Existence and nonexistence of solutions for some nonlinear elliptic equations
• Bounded and unbounded solutions for a class of quasi-linear elliptic problems with a quadratic gradient term.
• Entropy solution for nonlinear elliptic problem involving variable exponent and Fourier type boundary condition
• Existence results for some unilateral problems without sign condition with obstacle free in Orlicz spaces
• Nonlinear elliptic equations having a gradient term with natural growth
• Renormalized solutions for nonlinear elliptic equations with variable exponents and \(L^1\) data
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Nonlinear elliptic systems with variable exponents and measure data
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