Aim of this study is to obtain an interior estimate for the solution of the Dirichlet problem for a linear elliptic partial differential equations having the coefficients of the principal part that belong to the Sarason class VMO of functions with vanishing mean oscillation. In order to obtain the desired result we use some estimates for singular integral operators and commutators on Generalized Local Morrey Spaces.

On some qualitative results for the solution to a Dirichlet problem in local generalized Morrey spaces

Scapellato A.
2017

Abstract

Aim of this study is to obtain an interior estimate for the solution of the Dirichlet problem for a linear elliptic partial differential equations having the coefficients of the principal part that belong to the Sarason class VMO of functions with vanishing mean oscillation. In order to obtain the desired result we use some estimates for singular integral operators and commutators on Generalized Local Morrey Spaces.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/368688
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