Regularity results for the gradient of solutions of linear elliptic systems with VMO-coefficients and L 1,λ data

2010 ◽  
Vol 22 (5) ◽  
Author(s):  
Salvatore Leonardi ◽  
Jana Stará
Keyword(s):  
Elliptic Systems ◽  
Vmo Coefficients ◽  
Regularity Results

scholarly journals Monotonicity and rigidity of solutions to some elliptic systems with uniform limits

2019 ◽  
Vol 22 (05) ◽  
pp. 1950044 ◽  
Author(s):  
Alberto Farina ◽  
Berardino Sciunzi ◽  
Nicola Soave
Keyword(s):  
A Priori ◽  
Elliptic Systems ◽  
A Priori Bounds ◽  
Liouville Type ◽  
Liouville Type Theorems ◽  
Regularity Results

In this paper, we prove the validity of Gibbons’ conjecture for a coupled competing Gross–Pitaevskii system. We also provide sharp a priori bounds, regularity results and additional Liouville-type theorems.

Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients

2021 ◽  
Vol 32 (2) ◽  
pp. 317-334
Author(s):  
Giuseppa Rita Cirmi ◽  
Salvatore D’Asero ◽  
Salvatore Leonardi
Keyword(s):  
Elliptic Systems ◽  
Morrey Estimates ◽  
Vmo Coefficients

scholarly journals $L^p$ estimates for degenerate elliptic systems with VMO coefficients

2014 ◽  
Vol 25 (6) ◽  
pp. 909-917
Author(s):  
G. Di Fazio ◽  
M. S. Fanciullo ◽  
P. Zamboni
Keyword(s):  
Elliptic Systems ◽  
Degenerate Elliptic ◽  
Vmo Coefficients

scholarly journals Singular quasilinear convective elliptic systems in ℝ N

2022 ◽  
Vol 11 (1) ◽  
pp. 741-756
Author(s):  
Umberto Guarnotta ◽  
Salvatore Angelo Marano ◽  
Abdelkrim Moussaoui
Keyword(s):  
Fixed Point ◽  
Weak Solution ◽  
Elliptic System ◽  
A Priori Estimates ◽  
A Priori ◽  
Elliptic Systems ◽  
Perturbation Techniques ◽  
Priori Estimates ◽  
Regularity Results

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.

Sign in / Sign up

Export Citation Format

Share Document