Existence and uniqueness of positive solutions of semilinear elliptic systems (Q1961309)
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scientific article; zbMATH DE number 1389677
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and uniqueness of positive solutions of semilinear elliptic systems |
scientific article; zbMATH DE number 1389677 |
Statements
Existence and uniqueness of positive solutions of semilinear elliptic systems (English)
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10 July 2000
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The following system of nonlinear elliptic PDE's is studied: \(-\Delta u = g(v)\), \(-\Delta v = f(u)\) in an open subset of \({\mathbb R}^n\) with homogeneous boundary conditions. The functions \(f\) and \(g\) are assumed to be nonnegative, nondecreasing, with some Hölder regularity and superlinear or sublinear at \(0\) and infinity.
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elliptic system
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positive solution
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superlinear and sublinear
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existence
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uniqueness
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