Existence of positive solutions to the biharmonic equations in \(\mathbb{R}^N\)

DOI10.1007/S43034-024-00362-9zbMATH Open1547.35256MaRDI QIDQ6571088

Wenbo Wang, Jianwen Zhou, Jixiang Ma

Publication date: 11 July 2024

Published in: Annals of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

existence of positive solutionsbiharmonic equation

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)

Cites Work

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• Asymptotic Properties of Semilinear Equations
• Weakly Differentiable Functions
• Critical semilinear biharmonic equations in R^N
• On inhomogeneous biharmonic equations involving critical exponents
• On a ``reversed variational inequality

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