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 language | English (US) |
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Pages (from-to) | 1749-1792 |
Number of pages | 44 |
Journal | Indiana University Mathematics Journal |
Volume | 56 |
Issue number | 4 |
DOIs | |
State | Published - 2007 |
All Science Journal Classification (ASJC) codes
- General Mathematics