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Decay estimates for Wolff potentials in \(\mathbb{R}^N\) and gradient-dependent quasilinear elliptic equations - MaRDI portal

Decay estimates for Wolff potentials in \(\mathbb{R}^N\) and gradient-dependent quasilinear elliptic equations (Q1651950)

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scientific article; zbMATH DE number 6901116
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English
Decay estimates for Wolff potentials in \(\mathbb{R}^N\) and gradient-dependent quasilinear elliptic equations
scientific article; zbMATH DE number 6901116

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    Decay estimates for Wolff potentials in \(\mathbb{R}^N\) and gradient-dependent quasilinear elliptic equations (English)
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    11 July 2018
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    The paper provides decay estimates for elliptic equations in \(\mathbb R^N\) driven by the \(p\)-Laplacian operator. These estimates are used to prove the existence of positive solutions for elliptic equations with full dependence on the gradient of the solution. A sub-supersolution method is developed for this type of equations.
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    \(p\)-Laplacian
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    quasilinear elliptic equation
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    decay estimates
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    positive solutions
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    gradient dependence
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    sub-supersolution method
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