Existence and uniqueness of solutions for a nonlinear equation with convection term

Bulletin of the "Transilvania" University of Braşov. Series III, Mathematics and Computer Science 2026 Open access

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Authors: Mustapha Ait Hammou
DOI: 10.31926/but.mif.2026.6.68.1.1
Cited by: 0
References: 13

Abstract

In this paper, we consider the existence and uniqueness of weak solutions of a nonlinear elliptic equation with a variable exponent, a monotonic type operator, and a convection term. With the topological degree theory, we prove the existence of at least one weak solution under some Leray-Lions and growth conditions. Moreover, we obtain the uniqueness of the solution of the problem under some additional assumptions. Our results generalize and improve existing results with another approach.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Advanced Mathematical Modeling in Engineering Nonlinear Differential Equations Analysis

Publication details

Journal / source
Bulletin of the "Transilvania" University of Braşov. Series III, Mathematics and Computer Science
Publisher
Universitatea Transilvania Brasov
Pages
3–12
Publication date
23 June 2026
Language
EN