Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems (Q2017355)
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scientific article; zbMATH DE number 6308589
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems |
scientific article; zbMATH DE number 6308589 |
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Existence, uniqueness and stability of positive solutions to a general sublinear elliptic systems (English)
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25 June 2014
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This paper is concerned with the qualitative analysis of solutions of a class of semilinear cooperative elliptic systems with Dirichlet boundary condition. The authors are interested in the sublinear case, and the main results establish sufficient conditions for the existence, uniqueness and the stability of positive solutions. The hypotheses are natural and the proofs strongly rely on the implicit function theorem.
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semilinear elliptic systems
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positive solution
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stability
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existence
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uniqueness
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