Existence theorems of multiple critical points and applications (Q556348)
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scientific article; zbMATH DE number 2175326
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence theorems of multiple critical points and applications |
scientific article; zbMATH DE number 2175326 |
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Existence theorems of multiple critical points and applications (English)
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13 June 2005
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By applying the method of invariant sets of descending flows, the authors discuss the multiplicity of critical points of a functional and obtain a theorem which is called chain of rings theorem. As an application, they utilize this result to lead to the existence of at least seven or nine solutions for nonlinear elliptic boundary value problems.
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critical point
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invariant sets of descending flow
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(PS) condition
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elliptic boundary value problems
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