The descending flow method and existence of solutions for a class of elliptic equations (Q901835)
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scientific article; zbMATH DE number 6526833
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The descending flow method and existence of solutions for a class of elliptic equations |
scientific article; zbMATH DE number 6526833 |
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The descending flow method and existence of solutions for a class of elliptic equations (English)
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6 January 2016
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The authors minimize the energy functional on invariant sets by the minus gradient flow. They characterize invariant sets by this flow and identify disjoint invariant sets in which the functional is bounded from below, that leads to get to get three distinct solutions: a positive, a negative and a sign-changing one.
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gradient flow
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general Palais-Smale condition
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invariant sets
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semilinear elliptic problem
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existence of multiple solutions
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0.87773407
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0.8712807
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0.86541265
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0.8653172
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0.86093915
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