Existence result for nonlinear elliptic unilateral problems in Musielak framework with \(L^1\) data

DOI10.1007/s11587-017-0342-zzbMath1403.35112OpenAlexW2766791182MaRDI QIDQ1623050

Mustafa Ait Khellou, Youssef El Hadfi, Sidi Mohamed Douiri

Publication date: 22 November 2018

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-017-0342-z

zbMATH Keywords

Dirichlet problemMusielak-Orlicz spacesnonlinear elliptic unilateral problems

Mathematics Subject Classification ID

Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Cites Work

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• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• Elliptic inequalities with lower order terms and \(L^{1}\) data in Orlicz spaces
• Existence of bounded solutions for non linear elliptic unilateral problems
• Variational inequalities in Musielak-Orlicz-Sobolev spaces
• Strongly nonlinear elliptic variational unilateral problems in Orlicz space
• Almost everywhere convergence of the gradients of solutions to elliptic equations in Orlicz spaces and application
• Variational inequalities in Orlicz-Sobolev spaces
• Nonlinear Elliptic Boundary Value Problems for Equations With Rapidly (Or Slowly) Increasing Coefficients

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