Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity

DOI10.4171/RLM/871zbMath1454.35102arXiv1903.02385OpenAlexW2986432818MaRDI QIDQ2281286

Tobias König, Rupert L. Frank

Publication date: 19 December 2019

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02385

zbMATH Keywords

biharmonic equationsingular solutionsmethod of moving planes

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Higher-order elliptic equations (35J30) Positive solutions to PDEs (35B09)

Related Items (2)

Classification to the positive radial solutions with weighted biharmonic equation ⋮ Classification of positive radial solutions to a weighted biharmonic equation

Cites Work

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• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
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• Bifurcation and coalescence of a plethora of homoclinic orbits for a Hamiltonian system
• The phase-plane picture for a class of fourth-order conservative differential equations
• Radial entire solutions for supercritical biharmonic equations
• The best sobolev constant
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Uniqueness theorem for the entire positive solutions of biharmonic equations in Rⁿ
• Sobolev Spaces

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