Existence of entire solutions for singular quasilinear convective elliptic systems
Analysis of PDEs
2021-07-14 v1
Abstract
The existence of entire solutions to quasilinear elliptic systems exhibiting both singular and convective reaction terms is discussed. An auxiliary problem, obtained by `freezing' the convection terms and `shifting' the singular ones, is first solved. Then, a priori estimates, fixed point arguments, nonlinear regularity, compactness results concerning the gradient terms, besides a regularization-localization procedure, yield the existence of a weak solution to the problem.
Keywords
Cite
@article{arxiv.2107.05674,
title = {Existence of entire solutions for singular quasilinear convective elliptic systems},
author = {Umberto Guarnotta},
journal= {arXiv preprint arXiv:2107.05674},
year = {2021}
}