Open AccessExistence of Solutions for a Quasilinear System with Gradient Terms
Author(s) -
Leandro S. Tavares
Publication year - 2021
Publication title -
contemporary mathematics
Language(s) - English
Resource type - Journals
eISSN - 2705-1064
pISSN - 2705-1056
DOI - 10.37256/cm.2420211076
Subject(s) - mathematics , schauder fixed point theorem , operator (biology) , fixed point theorem , laplace operator , p laplacian , fixed point , point (geometry) , mathematical analysis , pure mathematics , picard–lindelöf theorem , geometry , boundary value problem , biochemistry , chemistry , repressor , transcription factor , gene
In this paper, it is considered the existence of solutions for a quasilinear system involving the p-Laplacian operator and gradient terms. The approach is based on sub-supersolution arguments and the Schauder's Fixed Point Theorem. The results in this paper allow to consider several growth conditions in the gradient and complete some recent contributions.