Singular quasilinear convective elliptic systems in ℝ N

The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates. Some regularity results are then employed to show that the obtained solution is ac...

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Veröffentlicht in:Advances in nonlinear analysis 2022-01, Vol.11 (1), p.741-756
Hauptverfasser: Guarnotta, Umberto, Marano, Salvatore Angelo, Moussaoui, Abdelkrim
Format: Artikel
Sprache:eng
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Zusammenfassung:The existence of a positive entire weak solution to a singular quasi-linear elliptic system with convection terms is established, chiefly through perturbation techniques, fixed point arguments, and a priori estimates. Some regularity results are then employed to show that the obtained solution is actually strong.
ISSN:2191-9496
2191-950X
DOI:10.1515/anona-2021-0208