We obtain Calderon-Zygmund type estimates in generalized Morrey spaces for nonlinear equations of p-Laplacian type. Our result is obtained under minimal regularity assumptioms both on the operator and on the domain. This result allows us to study asymptotically regular operators. As a byproduct we obtain also generalized Holder regularity of the solutions under some restrictions of the weight functions.
Asymptotically regular operators in generalized Morrey spaces
Sun-Sig ByunMembro del Collaboration Group
;Lyoubomira Softova
Membro del Collaboration Group
2020-01-01
Abstract
We obtain Calderon-Zygmund type estimates in generalized Morrey spaces for nonlinear equations of p-Laplacian type. Our result is obtained under minimal regularity assumptioms both on the operator and on the domain. This result allows us to study asymptotically regular operators. As a byproduct we obtain also generalized Holder regularity of the solutions under some restrictions of the weight functions.File in questo prodotto:
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