Existence of entire solutions for singular quasilinear convective elliptic systems

2021/07/12 by Umberto Guarnotta, Guarnotta, Umberto
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2107.05674

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.

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