On some \(p(x)\)-quasilinear problem with right-hand side measure

DOI10.1016/j.matcom.2013.09.009OpenAlexW2057661435MaRDI QIDQ2229870

Elhoussine Azroul, Mohamed Badr Benboubker, Mohamed Rhoudaf

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2013.09.009

zbMATH Keywords

entropy solutionsvariable exponenttruncations\(p(x)\)-Laplacian operator

Mathematics Subject Classification ID

Measure and integration (28-XX) Partial differential equations (35-XX)

Related Items (7)

Existence of solutions for unilateral problems associated to some quasilinear anisotropic elliptic equations with measure data ⋮ Existence of solutions for generalized \(p(x)\)-Laplacian systems ⋮ The existence of renormalized solution for quasilinear parabolic problem with variable exponents and measure data ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Entropy and renormalized solutions for nonlinear elliptic problem involving variable exponent and measure data ⋮ Existence of solutions for some nonlinear elliptic equations in Musielak spaces with only the log-Hölder continuity condition

Cites Work

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• Nonlinear potential theory and weighted Sobolev spaces
• Existence results for nonlinear elliptic equations with degenerate coercivity
• Entropy solutions for the $p(x)$-Laplace equation
• Local regularity properties for the solutions of a nonlinear partial differential equation
• Elliptic Partial Differential Equations of Second Order
• Variable Exponent, Linear Growth Functionals in Image Restoration

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