Uniform Hölder bounds for a strongly coupled elliptic system with strong competition |
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| Authors: | Ling Zhou Shan Zhang Zuhan Liu |
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| Institution: | 1. School of Mathematical Science, Yangzhou University, Yangzhou 225002, China;2. School of Mathematical Science, Xuzhou Normal University, Xuzhou, 221116, China |
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| Abstract: | This article is concerned with a strongly coupled elliptic system modeling the steady state of populations that compete in some region. We prove that the solutions are uniformly Hölder bounded, as the competition rate tends to infinity. The proof relies on the blow-up technique and the monotonicity formula. |
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| Keywords: | 35J55 35Q40 |
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