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\(L^{\infty}\)-estimates for nonlinear elliptic problems with \(p\)-growth in the gradient - MaRDI portal

\(L^{\infty}\)-estimates for nonlinear elliptic problems with \(p\)-growth in the gradient (Q1288850)

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scientific article; zbMATH DE number 1287990
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\(L^{\infty}\)-estimates for nonlinear elliptic problems with \(p\)-growth in the gradient
scientific article; zbMATH DE number 1287990

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    \(L^{\infty}\)-estimates for nonlinear elliptic problems with \(p\)-growth in the gradient (English)
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    16 December 1999
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    The authors consider the Dirichlet problem for a class of equations whose model is \[ -\text{div}(| \nabla u| ^{p-2} \nabla u) = | \nabla u| ^p + g - \text{div} f \] and give a priori estimates using symmetrization. As an application, an obstacle problem is also studied.
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    nonlinear elliptic equations
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    a priori esstimates
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    rearrangements
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