Dancer, E.N. and Du, Y.H. (1994) Competing Species Equations with Diffusion, Large Interactions, and Jumping Nonlinearities. Journal of Differential Equations, 114, 434-475.
https://doi.org/10.1006/jdeq.1994.1156

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.