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The behavior of solutions to the Dirichlet problem for second order elliptic equations with variable nonlinearity exponent in a neighborhood of a conical boundary point - MaRDI portal

The behavior of solutions to the Dirichlet problem for second order elliptic equations with variable nonlinearity exponent in a neighborhood of a conical boundary point (Q905245)

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scientific article; zbMATH DE number 6532735
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English
The behavior of solutions to the Dirichlet problem for second order elliptic equations with variable nonlinearity exponent in a neighborhood of a conical boundary point
scientific article; zbMATH DE number 6532735

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    The behavior of solutions to the Dirichlet problem for second order elliptic equations with variable nonlinearity exponent in a neighborhood of a conical boundary point (English)
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    19 January 2016
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    The paper studies the regularity and a priori estimates for \(p(x)\)-harmonic functions on a finite dimensional Euclidean space with vertex at the origin. The function \(p(x)\) is supposed to be Lipschitz or Hölder continuous.
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    Dirichlet problem
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    conical domain
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    variable exponent
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    regularity
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