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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

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
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引用次数: 1

摘要

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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A "nonlinear duality" approach to $ W_0^{1, 1} $ solutions in elliptic systems related to the Keller-Segel model
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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来源期刊
Mathematics in Engineering
Mathematics in Engineering MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
2.20
自引率
0.00%
发文量
64
审稿时长
12 weeks
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