Existence of two solutions for Kirchhoff-double phase problems with a small perturbation without (AR)-condition

DOI10.3934/dcdss.2023085MaRDI QIDQ6657912

Mahmoud El Ahmadi, Abdesslem Ayoujil, M. Berrajaa

Publication date: 7 January 2025

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

zbMATH Keywords

variational methodsKirchhoff-type equationexistence of at least two solutionsdouble-phase operator

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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• Eigenvalues for double phase variational integrals
• Orlicz spaces and modular spaces
• Uniform convexity of Musielak-Orlicz-Sobolev spaces and applications
• On Lavrentiev's phenomenon
• Existence and multiplicity results for double phase problem
• Existence and multiplicity results for Kirchhoff-type problems on a double-phase setting
• Variational inequalities in Musielak-Orlicz-Sobolev spaces
• Dual variational methods in critical point theory and applications
• Generalized Orlicz spaces and related PDE
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Existence results for perturbations of the p-Laplacian

Related Items (4)

Robin problem involving the \(p(x)\)-Laplacian operator without Ambrosetti-Rabinowitz condition ⋮ Existence and multiplicity results for a kind of double phase problems with mixed boundary value conditions ⋮ On the superlinear Kirchhoff problem involving the double phase operator with variable exponents ⋮ Preface to the special issue on New Trends in Applied Mathematics ICNTAM 2022

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