Positive solutions for a class of biharmonic equations: existence and uniqueness

DOI10.1016/j.aml.2023.108687zbMath1519.35102OpenAlexW4366166368MaRDI QIDQ6112054

Haiping Chen, Mei-Qiang Feng

Publication date: 7 July 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108687

zbMATH Keywords

existenceuniquenessbiharmonic equationNavier boundary conditions

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Positive solutions of biharmonic elliptic problems with a parameter

Cites Work

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• Positive solutions for a class of biharmonic problems: existence, nonexistence and multiplicity
• Fourth-order elliptic problems involving concave-superlinear nonlinearities
• Supercritical biharmonic elliptic problems in domains with small holes
• Existence and uniqueness theorems for the bending of an elastic beam equation
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