Article citationsMore>>

Tavares, H. and Terracini, S. (2012) Regularity of the Nodal Set of the Segregated Critical Configuration under a Weak Reflection Law, Calc. Var. Partial Differential Equations, 45, 273-317.
https://doi.org/10.1007/s00526-011-0458-z

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.