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arXiv · 1904.10713

Asymptotically regular operators in generalized Morrey spaces

Sun-Sig Byun·Lubomira Softova
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Abstract

We obtain Calder\'on-Zygmund type estimates in generalized Morrey spaces for nonlinear equations of $p$-Laplacian type. Our result is obtained under minimal regularity assumptions both on the operator and on the domain. This result allows us to study asymptotically regular operators. As a byproduct, we obtain also generalized H\"older regularity of the solutions under some minimal restrictions of the weight functions.

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Sun-Sig Byun, Lubomira Softova. 2019-04-24. Asymptotically regular operators in generalized Morrey spaces. https://doi.org/10.1112/blms.12306

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