Positive solutions for singular elliptic systems with convection term
We prove the existence and regularity of solutions for a quasi-linear elliptic system with convection terms that can be singular in the solution and its gradient. Comparison properties and a priori estimates are also obtained. Our approach relies on invariance, regularity, strong maximum principle,...
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| Veröffentlicht in: | Journal of fixed point theory and applications 2017-09, Vol.19 (3), p.2165-2175 |
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| container_end_page | 2175 |
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| container_issue | 3 |
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| container_title | Journal of fixed point theory and applications |
| container_volume | 19 |
| creator | Motreanu, Dumitru Moussaoui, Abdelkrim Zhang, Zhitao |
| description | We prove the existence and regularity of solutions for a quasi-linear elliptic system with convection terms that can be singular in the solution and its gradient. Comparison properties and a priori estimates are also obtained. Our approach relies on invariance, regularity, strong maximum principle, and fixed-point arguments. |
| doi_str_mv | 10.1007/s11784-017-0407-3 |
| format | Article |
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Fixed Point Theory Appl</addtitle><description>We prove the existence and regularity of solutions for a quasi-linear elliptic system with convection terms that can be singular in the solution and its gradient. Comparison properties and a priori estimates are also obtained. 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| ispartof | Journal of fixed point theory and applications, 2017-09, Vol.19 (3), p.2165-2175 |
| issn | 1661-7738 1661-7746 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_01900521v1 |
| source | Springer Online Journals Complete |
| subjects | Analysis Convection Mathematical Methods in Physics Mathematics Mathematics and Statistics Maximum principle Regularity |
| title | Positive solutions for singular elliptic systems with convection term |
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