Radial and non radial ground states for a class of dilation invariant fourth order semilinear elliptic equations on \(\mathbb R^n\)

DOI10.3934/cpaa.2014.13.811zbMath1304.35285arXiv1304.7291OpenAlexW2962773435MaRDI QIDQ380169

Paolo Caldiroli

Publication date: 13 November 2013

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

Full work available at URL: https://arxiv.org/abs/1304.7291

zbMATH Keywords

extremal functionsground statebiharmonic operatorbreaking symmetryRellich-Sobolev inequalityradial ground state

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Inequalities involving derivatives and differential and integral operators (26D10) Higher-order elliptic equations (35J30) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations (35J61)

Related Items (6)

Entire solutions for a class of fourth-order semilinear elliptic equations with weights ⋮ Existence and multiplicity of solutions for a singular problem involving the \(p\)-biharmonic operator in \(\mathbb{R}^N\) ⋮ Remarks on the Rellich inequality ⋮ Revisiting the Rellich inequality ⋮ Entire solutions for a class of elliptic equations involving \(p\)-biharmonic operator and Rellich potentials ⋮ Multiplicity results for biharmonic equations involving multiple Rellich-type potentials and critical exponents

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