Mountain pass solutions to equations with subcritical Musielak-Orlicz-Sobolev growth

DOI10.1007/s12215-022-00804-0zbMath1518.35352arXiv2112.08975OpenAlexW4291178370MaRDI QIDQ6161919

Ismail Khlifi, Allami Benyaiche

Publication date: 28 June 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.08975

zbMATH Keywords

Dirichlet problemexistencemountain pass theoremquasilinear equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62)

Cites Work

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• Dual variational methods in critical point theory and applications
• Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
• Generalized Orlicz spaces and related PDE
• Existence of solutions for Kirchhoff type problems in Musielak-Orlicz-Sobolev spaces
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Weak solvability of nonlinear elliptic equations involving variable exponents

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