Boundedness of the solutions to nonlinear systems with Morrey data
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| _version_ | 1866909951159435264 |
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| author | Softova, Lubomira |
| author_facet | Softova, Lubomira |
| contents | We consider nonlinear elliptic systems satisfying componentwise coercivity condition. The nonlinear terms have controlled growths with respect to the solution and its gradient, while the behaviour in the independent variable is governed by functions in Morrey spaces. We firstly prove essential boundedness of the weak solution and then obtain Morrey regularity of its gradient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1704_06462 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Boundedness of the solutions to nonlinear systems with Morrey data Softova, Lubomira Analysis of PDEs 35J57, 35K51, 35B40 We consider nonlinear elliptic systems satisfying componentwise coercivity condition. The nonlinear terms have controlled growths with respect to the solution and its gradient, while the behaviour in the independent variable is governed by functions in Morrey spaces. We firstly prove essential boundedness of the weak solution and then obtain Morrey regularity of its gradient. |
| title | Boundedness of the solutions to nonlinear systems with Morrey data |
| topic | Analysis of PDEs 35J57, 35K51, 35B40 |
| url | https://arxiv.org/abs/1704.06462 |