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Research Article | Open Access

A "nonlinear duality" approach to W 0 1 , 1 solutions in elliptic systems related to the Keller-Segel model

Istituto Lombardo – Accademia di Scienze e Lettere - Palazzo di Brera, Milano, Italia
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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.

Keywords

duality methodnonlinear elliptic systemW01,1 solutions

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Mathematics in Engineering
Volume 5 Issue 5,
October 2023
Pages 1-11
DOI: 10.3934/mine.2023085

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Cite this article:
Boccardo L. A "nonlinear duality" approach to W 0 1 , 1 solutions in elliptic systems related to the Keller-Segel model. Mathematics in Engineering, 2023, 5(5): 1-11. https://doi.org/10.3934/mine.2023085

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Received: 20 April 2022
Revised: 13 February 2023
Accepted: 05 April 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)