Nonisolated singularities of solutions to a quasilinear elliptic system
Jan Malý (1988)
Commentationes Mathematicae Universitatis Carolinae
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Displaying similar documents to “Nowhere continuous solutions to elliptic systems”
Nonisolated singularities of solutions to a quasilinear elliptic system
Everywhere regularity for a class of elliptic systems without growth conditions
Paolo Marcellini (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A regularity theorem for linear second order elliptic divergence equations
R. A. Hager, J. Ross (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On Hölder regularity for elliptic equations of non-divergence type in the plane
Albert Baernstein II, Leonid V. Kovalev (2005)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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This paper is concerned with strong solutions of uniformly elliptic equations of non-divergence type in the plane. First, we use the notion of quasiregular gradient mappings to improve Morrey’s theorem on the Hölder continuity of gradients of solutions. Then we show that the Gilbarg-Serrin equation does not produce the optimal Hölder exponent in the considered class of equations. Finally, we propose a conjecture for the best possible exponent and prove it under an additional restriction. ...