Existence of Solutions for a Quasilinear System with Gradient Terms

Authors

Leandro S. Tavares Center of Sciences and Technology, Federal University of Cariri, Juazeiro do Norte-CE, Brazil https://orcid.org/0000-0003-0953-8037

DOI:

https://doi.org/10.37256/cm.2420211076

Keywords:

p-Laplacian, gradient term, convection term, dependence of the gradient, quasilinear system, sub-supersolutions

Abstract

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 us to consider several growth conditions in the gradient and complete some recent contributions.

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Published

2021-10-27

How to Cite

S. Tavares L. Existence of Solutions for a Quasilinear System with Gradient Terms. Contemp. Math. [Internet]. 2021 Oct. 27 [cited 2026 Jan. 9];2(4):319-26. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/1076

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Issue

Contemporary Mathematics, Volume 2 Issue 4 (2021), 246-417

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.