\(L^{\infty}\)-estimate for some quasilinear degenerate elliptic equations (Q2870925)
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scientific article; zbMATH DE number 6248681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^{\infty}\)-estimate for some quasilinear degenerate elliptic equations |
scientific article; zbMATH DE number 6248681 |
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21 January 2014
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degenerate quasilinear elliptic equations
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weighted Sobolev spaces
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\(L^{\infty}\)-estimate for some quasilinear degenerate elliptic equations (English)
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In this paper the author studies some quasilinear degenerate elliptic equations with zero Dirichlet boundary conditions. By using the approximation technique introduced in [\textit{L. Boccardo} and \textit{D. Giachetti}, Ric. Mat. 34, 309--323 (1985; Zbl 0627.35034)], he proves the existence of at least one bounded solution in weighted Sobolev spaces.
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