Asymptotically regular operators in generalized Morrey spaces
| Autor: | Sun-Sig Byun, Lubomira G. Softova |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Mathematics::Functional Analysis General Mathematics 010102 general mathematics Mathematics::Classical Analysis and ODEs Type (model theory) 01 natural sciences Domain (mathematical analysis) p-Laplacian operators Generalized Morrey spaces Holder regularity Functional Analysis (math.FA) 35J60 Mathematics - Functional Analysis Nonlinear system Mathematics - Analysis of PDEs Operator (computer programming) FOS: Mathematics 0101 mathematics Mathematics Analysis of PDEs (math.AP) |
| Popis: | 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. Comment: 10 pages |
| Databáze: | OpenAIRE |
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