Global bifurcations of solutions of elliptic differential equations
type: Item
instance of: scholarly article
title: Global bifurcations of solutions of elliptic differential equations
zbMATH Open document ID: 0908.35015
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-03-24T00:00:00Z
review text: In [Nonlinear Anal., Theory Methods Appl. 23, 83-102 (1994; Zbl 0815.58027)], the author has developed an \(S^1\)-equivariant degree theory for potential compact vector fields and has applied it to extend the Rabinowitz's global bifurcation theorem. Applications to elliptic systems with an even number of equations to assure the unboundedness of a branch nontrivial solutions, are studied in this paper.
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 1115462
zbMATH Keywords: unbounded branch of solutions
zbMATH Keywords: \(S^1\)-equivariant degree theory
author: Sławomir Maciej Rybicki
reviewed by: Kung Ching Chang
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5704
OpenAlex ID: W2059570989
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DOI: 10.1006/JMAA.1997.5704
description: scientific article; zbMATH DE number 1115462