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
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.File in questo prodotto:
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