In this paper we study the degree of integrability of quasiharmonic fields. These fields are connected with the study ofthe equation dìv<A(x)\Du(x)> = O,where the symmetric matrix A(x) is controleted by a nonnegative function K(x) belongs to the exponential class. We prove that the gradient of a local solution of the equation belongs to opportunity Zygmund space.

QUASIHARMONIC FIELDS: A HIGHER INTEGRABILITY RESULT

DI GIRONIMO, Patrizia
2007-01-01

Abstract

In this paper we study the degree of integrability of quasiharmonic fields. These fields are connected with the study ofthe equation dìv = O,where the symmetric matrix A(x) is controleted by a nonnegative function K(x) belongs to the exponential class. We prove that the gradient of a local solution of the equation belongs to opportunity Zygmund space.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/1865702
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