Multiple solutions for a semilinear elliptic system in \(\mathbb R^N\) (Q2868876)
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scientific article; zbMATH DE number 6239707
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multiple solutions for a semilinear elliptic system in \(\mathbb R^N\) |
scientific article; zbMATH DE number 6239707 |
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19 December 2013
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semilinear elliptic system
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strongly indefinite functionals
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variational method
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0.9862056
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0.9782364
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0.9734054
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0.9665554
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0.9664526
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Multiple solutions for a semilinear elliptic system in \(\mathbb R^N\) (English)
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This paper is concerned with a class of semilinear elliptic systems in the whole space. The basic assumption is that the nonlinear terms are periodic in the \(x\) variable and odd in the \(t\) variable. The main result establishes the existence of infinitely many geometrically distinct positive ground states. The proof is based on a critical point theorem of \textit{T. Bartsch} and \textit{Y. Ding} [Math. Nachr. 279, No. 12, 1267--1288 (2006; Zbl 1117.58007)].
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