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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | Abstract and Applied Analysis |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S108533759600005X |
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| _version_ | 1832556441117917184 |
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| author | E. N. Dancer Yihong Du |
| author_facet | E. N. Dancer Yihong Du |
| author_sort | E. N. Dancer |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-da8dd33491094cbfb84de883974e9ab0 |
| institution | Kabale University |
| issn | 1085-3375 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-da8dd33491094cbfb84de883974e9ab02025-02-03T05:45:26ZengWileyAbstract and Applied Analysis1085-33751996-01-011110313510.1155/S108533759600005XThe generalized Conley index and multiple solutions of semilinear elliptic problemsE. N. Dancer0Yihong Du1School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, AustraliaDepartment of Mathematics, Statistics and Computer Science, University of New England, Armidale, NSW 2351, AustraliaWe 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.http://dx.doi.org/10.1155/S108533759600005XConley indexelliptic equationcritical point theoryfixed point indexsuperlinear problem. |
| spellingShingle | E. N. Dancer Yihong Du The generalized Conley index and multiple solutions of semilinear elliptic problems Abstract and Applied Analysis Conley index elliptic equation critical point theory fixed point index superlinear problem. |
| title | The generalized Conley index and multiple solutions of semilinear elliptic problems |
| title_full | The generalized Conley index and multiple solutions of semilinear elliptic problems |
| title_fullStr | The generalized Conley index and multiple solutions of semilinear elliptic problems |
| title_full_unstemmed | The generalized Conley index and multiple solutions of semilinear elliptic problems |
| title_short | The generalized Conley index and multiple solutions of semilinear elliptic problems |
| title_sort | generalized conley index and multiple solutions of semilinear elliptic problems |
| topic | Conley index elliptic equation critical point theory fixed point index superlinear problem. |
| url | http://dx.doi.org/10.1155/S108533759600005X |
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