Fast decaying ground states for elliptic equations with exponential nonlinearity
type: Item
instance of: scholarly article
title: Fast decaying ground states for elliptic equations with exponential nonlinearity
zbMATH Open document ID: 1455.35101
author: Giovany M. Figueiredo
author: Marcelo Montenegro
published in: Applied Mathematics Letters
publication date: 2020-12-03T00:00:00Z
review text: For superlinear continuous functions \(f\), with exponential subcritical or exponential critical growth, the authors use a Trudinger-Moser inequality and lemmas involving the Nehari manifold, to propose conditions under which \[-\operatorname{div}(\exp(|x|^2/4) \nabla u) = \exp(|x|^2/4) f(u) \quad \mbox{in}\quad \mathbb{R}^2\] has a positive minimal energy solution.
reviewed by: L. P. Castro
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 7281313
zbMATH Keywords: critical exponential growth
zbMATH Keywords: subcritical equation
zbMATH Keywords: self-similar solution
zbMATH Keywords: ground state
zbMATH Keywords: positive solution
MaRDI profile type: Publication
full work available at URL: j.aml.2020.106779
OpenAlex ID: W3087489750
Wikidata QID: Q115597776
cites work: Q3744555
cites work: Variational problems related to self-similar solutions of the heat equation
cites work: Asymptotic behaviour of solutions of some semilinear parabolic problems
cites work: Radial symmetry of self-similar solutions for semilinear heat equations
cites work: Positive solutions for nonlinear elliptic equations with fast increasing weights
cites work: On a class of nonlinear elliptic equations with fast increasing weight and critical growth
cites work: A Trudinger--Moser inequality in a weighted Sobolev space and applications
DOI: 10.1016/J.AML.2020.106779
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description: scientific article