Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations
type: Item
instance of: scholarly article
title: Application of elliptic regularity to bifurcation in stationary nonlinear Schrödinger equations
zbMATH Open document ID: 1034.35036
DOI: 10.1016/S0362-546X(02)00138-4
author: P. J. Rabier
author: C. A. Stuart
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-03-11T00:00:00Z
review text: The paper deals with the study of a bifurcation problem for the nonlinear Schrödinger equation on the whole space. The abstract results are obtained after establishing a regularity property related to Fredholm operators in an appropriate Sobolev space. The main result of the paper is deduced by applying the Lyapunov-Schmidt reduction method.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 1879984
zbMATH Keywords: bifurcation
zbMATH Keywords: elliptic regularity
zbMATH Keywords: Fredholm operator
zbMATH Keywords: Morse index
MaRDI profile type: Publication
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full work available at URL: s0362-546x(02)00138-4
OpenAlex ID: W2009531250
description: scientific article; zbMATH DE number 1879984