Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms (Q1723904)
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scientific article; zbMATH DE number 7022201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms |
scientific article; zbMATH DE number 7022201 |
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Infinitely many nontrivial solutions of resonant cooperative elliptic systems with superlinear terms (English)
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14 February 2019
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Summary: We study a class of resonant cooperative elliptic systems and replace the Ambrosetti-Rabinowitz superlinear condition with general superlinear conditions. We obtain ground state solutions and infinitely many nontrivial solutions of this system by a generalized Nehari manifold method developed recently by Szulkin and Weth.
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second-order elliptic systems
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existence
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variational methods
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