Research Article

A system of two elliptic equations with nonlinear convection and coupled reaction terms

Published in: Quaestiones Mathematicae
Volume 47 , issue 2 , 2024 , pages: 437–450

DOI: 10.2989/16073606.2023.2229554

Author(s): Dragos-Patru Covei The Bucharest University of Economic Studies, Romania

Keywords: 35B44 , 35B08 , 35J05 , 60J70 , Nonlinear elliptic system , Keller-Osserman condition , entire large solution , blow-up solution

Download full text Get new issue alerts

Abstract

The present paper is concerned with the existence of solutions for a class of elliptic systems involving nonlinearities of the Keller-Osserman type and combined with the convection terms. Firstly, we establish a result involving sub and super-solution for a class of elliptic systems whose nonlinearity may depend of the gradient of the solution. This result permits the study of the existence of blow-up solution for a large class of systems.

« Well-posedness of fractional differential equations with finite delay in complex Banach spaces

Lie derivable maps at unit operator on nest algebras »