Multiple solutions for elliptic equations with Musielak-Orlicz growth

DOI10.1007/S41808-022-00186-5zbMath1501.35204OpenAlexW4297023572MaRDI QIDQ2091775

Ismail Khlifi

Publication date: 2 November 2022

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41808-022-00186-5

zbMATH Keywords

quasilinear elliptic equationexistence of mountain pass solutionsMusielak-Orlicz growth

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Orlicz spaces and modular spaces
• Orlicz spaces and generalized Orlicz spaces
• On the variational principle
• Minimax theorems
• Sobolev-Dirichlet problem for quasilinear elliptic equations in generalized Orlicz-Sobolev spaces
• Maximal regularity for local minimizers of non-autonomous functionals
• Dual variational methods in critical point theory and applications
• Generalized Orlicz spaces and related PDE
• EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR AN ELLIPTIC EQUATION WITH $p(x)$-GROWTH CONDITIONS

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