Uniform Hölder Bounds for Competition Systems with Strong Interaction on a Subdomain  

作　　者：Jiahao Ni Shan Zhang Jiahao Ni;Shan Zhang(School of Applied Mathematics, Nanjing University of Finance & Economics, Nanjing, China)

机构地区：[1]School of Applied Mathematics, Nanjing University of Finance & Economics, Nanjing, China

出　　处：《Journal of Applied Mathematics and Physics》2023年第6期1525-1540,共16页应用数学与应用物理（英文）

摘　　要：We prove the uniform Hölder bounds of solutions to a singularly perturbed elliptic system arising in competing models in population dynamics. In this system, two species compete to some extent throughout the whole domain but compete strongly on a subdomain. The proof relies upon the blow up technique and the monotonicity formula by Alt, Caffarelli and Friedman.We prove the uniform Hölder bounds of solutions to a singularly perturbed elliptic system arising in competing models in population dynamics. In this system, two species compete to some extent throughout the whole domain but compete strongly on a subdomain. The proof relies upon the blow up technique and the monotonicity formula by Alt, Caffarelli and Friedman.

关 键 词：Singularly Perturbation SUBDOMAIN Free Boundary Problem Liouville Type Theorem 

分 类 号：O17[理学—数学]