Regularity and coexistence problems for strongly coupled elliptic systems

Dung Le, Linh V. Nguyen, Toan T. Nguyen

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

Boundedness and Holder regularity of solutions to a class of strongly coupled elliptic systems are investigated. The Holder 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.

Original languageEnglish (US)
Pages (from-to)1749-1792
Number of pages44
JournalIndiana University Mathematics Journal
Volume56
Issue number4
DOIs
StatePublished - Oct 29 2007

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Elliptic Systems
Coexistence
Coupled System
Cross-diffusion System
Regularity
Hölder Regularity
Regularity of Solutions
Fixed Point Theory
Existence of Positive Solutions
Boundedness
Gradient
Estimate
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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title = "Regularity and coexistence problems for strongly coupled elliptic systems",
abstract = "Boundedness and Holder regularity of solutions to a class of strongly coupled elliptic systems are investigated. The Holder 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.",
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Regularity and coexistence problems for strongly coupled elliptic systems. / Le, Dung; Nguyen, Linh V.; Nguyen, Toan T.

In: Indiana University Mathematics Journal, Vol. 56, No. 4, 29.10.2007, p. 1749-1792.

Research output: Contribution to journalArticle

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AU - Nguyen, Linh V.

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AB - Boundedness and Holder regularity of solutions to a class of strongly coupled elliptic systems are investigated. The Holder 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.

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