Positive solutions for singular elliptic systems with convection term

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
Hauptverfasser: Motreanu, Dumitru, Moussaoui, Abdelkrim, Zhang, Zhitao
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Convection
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Maximum principle
Regularity
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Beschreibung
Zusammenfassung: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.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-017-0407-3