Existence of solutions for some semilinear elliptic systems with singular coefficients (Q5954778)
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scientific article; zbMATH DE number 1701814
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solutions for some semilinear elliptic systems with singular coefficients |
scientific article; zbMATH DE number 1701814 |
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Existence of solutions for some semilinear elliptic systems with singular coefficients (English)
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5 January 2004
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existence
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strong solutions
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a priori estimates
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Regularization technique
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Subsolutions
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Positive solutions
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The author investigates the problem of existence of nontrivial and non negative strong solutions for systems of the form NEWLINE\[NEWLINE-{\mathcal L}_i u_i= a_i(x) u^{\alpha_i}_{\sigma_i} + b(x), \quad x \in \Omega, \qquad u_i= 0 \quad \text{on } \partial \Omega, NEWLINE\]NEWLINE in a bounded domain \(\Omega \subset \mathbb{R}^n\) with \(n \geq 2.\) Several examples are given as application of the results.
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