具有超线性对流的拟线性椭圆方程

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-08-25 DOI:10.1016/j.jmaa.2025.130005

Genival da Silva

引用次数: 0

摘要

研究了一类拟线性椭圆方程解的存在性和正则性，该方程包含一个Leray-Lions型算子和一个在无穷远处表现出超线性增长的对流项。特别地，我们的分析包含了p-拉普拉斯方程。这项工作扩展和推广了[3]的几个结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Quasilinear elliptic equations with superlinear convection

We investigate the existence and regularity of solutions to a quasilinear elliptic equation involving a Leray–Lions type operator and a convection term exhibiting superlinear growth at infinity. In particular, our analysis encompasses equations involving the p-Laplacian. This work extends and generalizes several results from [3].

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.