The generalized Conley index and multiple solutions of semilinear elliptic problems

The generalized Conley index and multiple solutions of semilinear elliptic problems

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-...

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Bibliographic Details
Main Authors: E. N. Dancer, Yihong Du
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:Abstract and Applied Analysis
Subjects:
Conley index
elliptic equation
critical point theory
fixed point index
superlinear problem.
Online Access:http://dx.doi.org/10.1155/S108533759600005X
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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.
ISSN:1085-3375

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