Existence and multiplicity of nontrivial solutions for a semilinear biharmonic equation with weight functions

DOI10.3934/dcdss.2021078zbMath1481.35228OpenAlexW3175800265MaRDI QIDQ2063991

Lei Wei, Zhao-sheng Feng, Xi-you Cheng

Publication date: 3 January 2022

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.2021078

zbMATH Keywords

existenceNehari manifoldconcave-convex nonlinearitysemilinear biharmonic equation

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Multiple critical points of a functional in product spaces with applications to elliptic systems

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