Entire solutions for a class of fourth-order semilinear elliptic equations with weights

DOI10.1007/s00009-015-0519-1zbMath1352.35048arXiv1406.5448OpenAlexW2068053852MaRDI QIDQ277012

Gabriele Cora, Paolo Caldiroli

Publication date: 4 May 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5448

zbMATH Keywords

extremal functionsbreaking symmetryRellich-Sobolev inequalityweighted biharmonic operator

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (3)

Embeddings of weighted Sobolev spaces and a weighted fourth-order elliptic equation ⋮ Classification of positive radial solutions to a weighted biharmonic equation ⋮ New types of Caffarelli-Kohn-Nirenberg inequalities and applications

Cites Work

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