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1996 The generalized Conley index and multiple solutions of semilinear elliptic problems
E. N. Dancer, Yihong Du
Abstr. Appl. Anal. 1(1): 103-135 (1996). DOI: 10.1155/S108533759600005X

Abstract

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.

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E. N. Dancer. Yihong Du. "The generalized Conley index and multiple solutions of semilinear elliptic problems." Abstr. Appl. Anal. 1 (1) 103 - 135, 1996. https://doi.org/10.1155/S108533759600005X

Information

Published: 1996
First available in Project Euclid: 7 April 2003

zbMATH: 0933.35069
MathSciNet: MR1390562
Digital Object Identifier: 10.1155/S108533759600005X

Subjects:
Primary: 35J65 , 35K20
Secondary: 47H17 , 58E05

Keywords: Conley index , Critical point theory , elliptic equation , fixed point index , superlinear problem

Rights: Copyright © 1996 Hindawi

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Vol.1 • No. 1 • 1996
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