Existence results for a class of nonlinear elliptic problems with \(p\)-growth in the gradient (Q1863478)
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scientific article; zbMATH DE number 1879988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence results for a class of nonlinear elliptic problems with \(p\)-growth in the gradient |
scientific article; zbMATH DE number 1879988 |
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Existence results for a class of nonlinear elliptic problems with \(p\)-growth in the gradient (English)
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11 March 2003
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The authors prove existence of bounded solutions for a class of nonlinear elliptic problems. A prototype equation is the following \[ -\text{ div}(a(x,u,Du)) = k_1(| u| )| Du| ^p + k_2(| u| )f, \qquad u \in W^{1,p}_0 \cap L^\infty\,. \]
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nonlinear elliptic equations
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existence.
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0.9573625
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0.9545887
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0.9534706
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0.9478394
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0.9422092
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0.9350103
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0.93094796
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0.9286312
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