On J. Schauder's method to solve elliptic differential equations (Q644434)

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scientific article; zbMATH DE number 5968096
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On J. Schauder's method to solve elliptic differential equations
scientific article; zbMATH DE number 5968096

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    On J. Schauder's method to solve elliptic differential equations (English)
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    4 November 2011
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    This paper is concerned with elliptic regularity theory for linear and quasilinear elliptic operators subject to Dirichlet boundary conditions. The author presents a nice and clear approach for \(C^{2,\alpha}\) regularity of solutions in the spirit of J. Schauder.
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    regularity theory
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    a priori estimates
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    continuity method
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    existence of \(C^{2,\alpha}\) solutions of linear and quasilinear elliptic equations
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    Leray-Schauder principle
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