Asymptotically regular operators in generalized Morrey spaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2019
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| _version_ | 1866914189643087872 |
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| author | Byun, Sun-Sig Softova, Lubomira |
| author_facet | Byun, Sun-Sig Softova, Lubomira |
| contents | We obtain Calderón-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 Hölder regularity of the solutions under some minimal restrictions of the weight functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_10713 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Asymptotically regular operators in generalized Morrey spaces Byun, Sun-Sig Softova, Lubomira Analysis of PDEs Functional Analysis 35J60 We obtain Calderón-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 Hölder regularity of the solutions under some minimal restrictions of the weight functions. |
| title | Asymptotically regular operators in generalized Morrey spaces |
| topic | Analysis of PDEs Functional Analysis 35J60 |
| url | https://arxiv.org/abs/1904.10713 |