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The Dirichlet problem in a cone for second order elliptic quasi-linear equation with the \(p\)-Laplacian - MaRDI portal

The Dirichlet problem in a cone for second order elliptic quasi-linear equation with the \(p\)-Laplacian (Q508988)

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scientific article; zbMATH DE number 6682100
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The Dirichlet problem in a cone for second order elliptic quasi-linear equation with the \(p\)-Laplacian
scientific article; zbMATH DE number 6682100

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    The Dirichlet problem in a cone for second order elliptic quasi-linear equation with the \(p\)-Laplacian (English)
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    8 February 2017
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    The authors study the behaviour of the solutions of the Dirichlet problem with a generalized \(p\)-Laplacian operator, reaction term depending on the gradient and with boundary condition on the lateral surface of a cone in a neighbourhood of the origin. Sufficient conditions on the regularity of the coefficients in the problem are provided to obtain some particular behaviour of the solution.
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    \(p\)-Laplacian
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    quasilinear elliptic equations
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    conical points
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