Singular positive solutions for a fourth order elliptic problem in \(\mathbb R^N\)

DOI10.3934/CPAA.2011.10.245zbMath1237.35079OpenAlexW2324868548MaRDI QIDQ651963

Tokushi Sato, Tatsuya Watanabe

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.245

zbMATH Keywords

singular solutionsminimal solutionsfourth order elliptic problemmountain pass methods

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Positive solutions to PDEs (35B09) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

B-method approach to blow-up solutions of fourth-order semilinear parabolic equations ⋮ Countable families of solutions of a limit stationary semilinear fourth-order Cahn-Hilliard-type equation. I: Mountain pass and Lusternik-Schnirel'man patterns in \(\mathbb{R}^{N}\) ⋮ A supercritical scalar field equation with a forcing term ⋮ Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity

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