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Cantrell, R.S., Cosner, C. and Lou, Y. (2006) Movement towards Better Environments and the Evolution of Rapid Diffusion. Mathematical Biosciences, 204, 199-214.
https://doi.org/10.1016/j.mbs.2006.09.003

has been cited by the following article:

• TITLE: Uniform Lipschitz Bound for a Competition Diffusion Advection System with Strong Competition

  AUTHORS: Tingwei Huang, Shan Zhang

  KEYWORDS: Diffusion-Advection System, Free Boundary Problem, Uniform Lipschitz Bound

  JOURNAL NAME: Applied Mathematics, Vol.12 No.5, May 19, 2021

  ABSTRACT: We prove the uniform Lipschitz bound of solutions for a nonlinear elliptic system modeling the steady state of populations that compete in a heterogeneous environment. This extends known quasi-optimal regularity results and covers the optimal case for this problem. The proof relies upon the blow-up technique and the almost monotonicity formula by Caffarelli, Jerison and Kenig.