Regularity and coexistence problems for strongly coupled elliptic systems
Dung LeLinh NguyenToan Nguyen
35J5535J6035B6535B45strongly coupled elliptic systemsregularityfixed point indexexistence
Boundedness and H\"older regularity of solutions to a class of strongly coupled elliptic systems are investigated. The H\"older 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.
Indiana University Mathematics Journal
2007
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10.1512/iumj.2007.56.2979
10.1512/iumj.2007.56.2979
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Indiana Univ. Math. J. 56 (2007) 1749 - 1791
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