Positive solutions for some quasilinear elliptic equations with natural growths (Q5926043)
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scientific article; zbMATH DE number 1574402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Positive solutions for some quasilinear elliptic equations with natural growths |
scientific article; zbMATH DE number 1574402 |
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Positive solutions for some quasilinear elliptic equations with natural growths (English)
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2 July 2001
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Summary: We prove an existence result for a class of quasilinear elliptic equations with natural growth. The model problem is \[ \begin{cases} -\text{div}((1+|u|^r)\nabla u)+|u|^{m-2}u|\nabla u|^2= f\quad &\text{in }\Omega,\\ u= 0\quad &\text{on }\partial\Omega.\end{cases}. \]
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natural growth coefficients
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Euler-Lagrange equations
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