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Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge

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Abstract

We obtain an exact estimate for the second derivatives of solutions (in the weight Sobolev norm) of the Dirichlet problem for quasilinear second-order elliptic equations of nondivergence type in a neighborhood of an edge of a domain.

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Authors and Affiliations

  1. Lviv University, Lviv

    M. I. Plesha

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  1. M. I. Plesha
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Plesha, M.I. Unimprovable Integral Estimate for Solutions of the Dirichlet Problem for Quasilinear Elliptic Equations of the Second Order in a Neighborhood of an Edge. Ukrainian Mathematical Journal 53, 1019–1026 (2001). https://doi.org/10.1023/A:1013316405319

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  • DOI: https://doi.org/10.1023/A:1013316405319

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