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6. Abstract

Regularity and Coexistence Problems for Strongly Coupled Elliptic Systems

Authors: Lê Dũng, Nguyễn Việt Linh, Nguyễn Trọng Toán (Nguyen T. Toan),

https://www.jstor.org/stable/24902749?seq=1

Publisher, magazine: ,

Publication year: 2007

  Lưu        Trích dẫn         Chia sẻ

Abstract

Boundedness and Hölder regularity of solutions to a class of strongly coupled elliptic systems are investigated. The Hölder estimates for the gradients of solutions are also established. Finally, the fixed point theory is applied to prove existence of positive solution(s) for general cross diffusion elliptic systems.

Tags: strongly coupled elliptic systems; regularity; fixed point index; existence.

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