The generalized Conley index and multiple solutions of semilinear elliptic problems
type: Item
instance of: scholarly article
title: The generalized Conley index and multiple solutions of semilinear elliptic problems
zbMATH Open document ID: 0933.35069
DOI: 10.1155/S108533759600005X
author: Yihong Du
author: E. N. Dancer
published in: Abstract and Applied Analysis
publication date: 2000-03-29T00:00:00Z
full work available at URL: https://eudml.org/doc/48361
full work available at URL: issue-1.html
review text: Summary: We establish some framework so that the generalized Conley index can be easily used to study the multiple solution problem of semilinear elliptic boundary value problems. Both the parabolic flow and the gradient flow are used. Some examples are given to compare our approach here with other well-known methods. Our abstract results with parabolic flows may have applications to parabolic problems as well.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 1370668
zbMATH Keywords: critical point theory
zbMATH Keywords: fixed point index
zbMATH Keywords: superlinear problem
zbMATH Keywords: parabolic flow
zbMATH Keywords: gradient flow
MaRDI profile type: Publication
OpenAlex ID: W2021051492
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description: scientific article; zbMATH DE number 1370668