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 desidered 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
ICNPAA 2016 WORLD CONGRESS: 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences ; 2016 ; La Rochelle, France
AIP Conference Proceedings ; 1798 , 1
2017-01-27
7 pages
Conference paper
Electronic Resource
English
On some trends on regularity results in Morrey spaces
American Institute of Physics | 2012
|On some trends on regularity results in Morrey spaces
British Library Conference Proceedings | 2012
|On precise embeddings between the generalized Morrey spaces and Stummel classes
British Library Conference Proceedings | 2012
|On precise embeddings between the generalized Morrey spaces and Stummel classes
American Institute of Physics | 2012
|Commutators of Hardy operators in vanishing Morrey spaces
American Institute of Physics | 2012
|