The descending flow method and existence of solutions for a class of elliptic equations
type: Item
instance of: scholarly article
title: The descending flow method and existence of solutions for a class of elliptic equations
zbMATH Open document ID: 1401.35084
author: Marcelo Montenegro
author: Adilson E. Presoto
published in: Milan Journal of Mathematics
publication date: 2016-01-06T00:00:00Z
review text: The authors minimize the energy functional on invariant sets by the minus gradient flow. They characterize invariant sets by this flow and identify disjoint invariant sets in which the functional is bounded from below, that leads to get to get three distinct solutions: a positive, a negative and a sign-changing one.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J61
zbMATH DE Number: 6526833
zbMATH Keywords: gradient flow
zbMATH Keywords: general Palais-Smale condition
zbMATH Keywords: invariant sets
zbMATH Keywords: semilinear elliptic problem
zbMATH Keywords: existence of multiple solutions
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: s00032-015-0245-y
OpenAlex ID: W2174239390
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DOI: 10.1007/S00032-015-0245-Y
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description: scientific article; zbMATH DE number 6526833