A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model

IF 1.4 4区工程技术 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Mathematics in Engineering Pub Date : 2023-01-01 DOI:10.3934/mine.2023085

L. Boccardo

引用次数: 1

Abstract

In this paper, we prove existence of distributional solutions of a nonlinear elliptic system, related to the Keller-Segel model. Our starting point is the boundedness theorem (for solutions of elliptic equations) proved by Guido Stampacchia and Neil Trudinger.

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Keller-Segel模型下椭圆系统$ W_0^{1,1} $解的“非线性对偶”方法

本文证明了一类非线性椭圆型系统分布解的存在性，涉及到Keller-Segel模型。我们的出发点是Guido Stampacchia和Neil Trudinger证明的(椭圆方程解的)有界性定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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