Existence of solution for a nonvariational elliptic system with exponential growth in dimension two (Q1678259)
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scientific article; zbMATH DE number 6806998
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solution for a nonvariational elliptic system with exponential growth in dimension two |
scientific article; zbMATH DE number 6806998 |
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Existence of solution for a nonvariational elliptic system with exponential growth in dimension two (English)
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14 November 2017
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The authors consider the existence of positive weak solutions for an elliptic system on a bounded domain in dimension two. The nonlinearities may have subcritical or critical exponential growth. For the proof, the authors first consider some auxiliary problem and Galerkin type approximation.
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semilinear system with Laplacian
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subcritical exponential growth
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critical exponential growth
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Galerkin scheme
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