Title: Regularity and coexistence problems for strongly coupled elliptic systems

Authors: Dung Le, Linh V. Nguyen and Toan T. Nguyen

Issue: Volume 56 (2007), Issue 4, 1749-1791

Abstract: 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.