Positive periodic solutions for a system of anisotropic parabolic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:367

Article

Fragnelli, Genni

关键词: Degenerate parabolic equations;    Periodic solutions;    Topological degree theory;   

DOI  :  10.1016/j.jmaa.2009.12.039

来源: Elsevier

【 摘 要 】

We consider a system of two degenerate parabolic equations with nonlocal terms and Dirichlet boundary conditions. More precisely, the degeneracy in each equation of the system is of the type r(x)-Laplacian where r(x) is a function depending on x is an element of Omega, where Omega is a bounded smooth domain of R-n. The system models the diffusion and the interaction between two different biological species sharing the same territory Omega. The paper provides conditions on the parameters of the problem that guarantee the coexistence of a T-periodic non-negative solution (u, v) with both non-trivial u, v. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free