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The irregular oblique derivative problem for nonlinear elliptic systems of second order - MaRDI portal

The irregular oblique derivative problem for nonlinear elliptic systems of second order (Q2721835)

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scientific article; zbMATH DE number 1616883
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English
The irregular oblique derivative problem for nonlinear elliptic systems of second order
scientific article; zbMATH DE number 1616883

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    11 July 2001
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    solvability
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    fixed point theorem
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    well-posedness
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    a priori estimates
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    The irregular oblique derivative problem for nonlinear elliptic systems of second order (English)
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    This paper is devoted to the irregular oblique derivative boundary value problem for nonlinear elliptic systems of second-order equations in multiply connected domains. The authors present the well-posedness of the irregular oblique derivative problem and a priori estimates of solutions for the modified boundary value problem, solvability of which is proved by using the Schauder fixed-point theorem. As a result the authors derive solvability conditions for the original problem.
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