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.

Singular quasilinear convective elliptic systems in R^N

Guarnotta, U
Primo
;
Marano, SA
Secondo
;
2022-01-01

Abstract

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.
2022
quasilinear elliptic system
gradient dependence
singular term
entire solution
strong solution
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/519564
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