Exact behavior around isolated singularity for semilinear elliptic equations with a log-type nonlinearity

DOI10.1515/anona-2017-0261zbMath1423.35121arXiv1804.04287OpenAlexW2962978102WikidataQ129656337 ScholiaQ129656337MaRDI QIDQ2417252

Sunghan Kim, Henrik Shahgholian, Marius Ghergu

Publication date: 12 June 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04287

zbMATH Keywords

singular solutionsasymptotic behavior of solutionssemilinear equation with Laplacianlog-type nonlinearity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic expansions of solutions to PDEs (35C20) Singular elliptic equations (35J75) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Cites Work

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• Conformally invariant fully nonlinear elliptic equations and isolated singularities
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Global and local behavior of positive solutions of nonlinear elliptic equations