A Free Boundary Problem Arising from Segregation of Populations with High Competition

作者:Quitalo Veronica*
来源:Archive for Rational Mechanics and Analysis, 2013, 210(3): 857-908.
DOI:10.1007/s00205-013-0661-5

摘要

In this work, we show how to obtain a free boundary problem as the limit of a fully nonlinear elliptic system of equations that models population segregation of the Gause-Lotka-Volterra type. We study the regularity of the solutions. In particular, we prove Lipschitz regularity across the free boundary. The problem is motivated by the work done by Caffarelli, Karakhanyan and Fang-Hua Lin for the linear case.

  • 出版日期2013-12