Quasilinear equations with natural growth (Q951991)
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scientific article; zbMATH DE number 5361875
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasilinear equations with natural growth |
scientific article; zbMATH DE number 5361875 |
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Quasilinear equations with natural growth (English)
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5 November 2008
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Summary: We study the existence of positive solution \(w\in H_0^1(\Omega)\) of the quasilinear equation \(-\Delta w+ g(w)|\nabla w|^2=a(x)\), \(x\in \Omega\), where \(\Omega\) is a bounded domain in \(\mathbb R^N\), \(0\leq a\in L^\infty (\Omega )\) and \(g\) is a nonnegative continuous function on \((0,+\infty)\) which may have a singularity at zero.
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quasilinear elliptic equations
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critical growth
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singular nonlinearity
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