On a nonlocal problem involving the fractional \(p(x,.)\)-Laplacian satisfying Cerami condition

DOI10.3934/dcdss.2020425zbMath1473.35621OpenAlexW3084978750MaRDI QIDQ2230329

Mohammed Shimi, Elhoussine Azroul, Abdelmoujib Benkirane

Publication date: 17 September 2021

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

Full work available at URL: https://doi.org/10.3934/dcdss.2020425

zbMATH Keywords

mountain pass theoremnonlocal problemFountain theoremCerami conditionfractional \(p(x,.)\)-Laplacian operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) Boundary value problems for PDEs with pseudodifferential operators (35S15) Pseudodifferential operators (47G30) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

Weak solutions for fractional \(p(x,\cdot)\)-Laplacian Dirichlet problems with weight ⋮ Weak solvability of nonlinear elliptic equations involving variable exponents

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