Some Crandall-Rabinowitz type results and applications to reaction-diffusion systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:458

Article

Vaeth, Martin^1,2 

[1] Acad Sci Czech Republ, Inst Math, Zitna 25, CR-11567 Prague 1, Czech Republic

[2] Free Univ Berlin, Dept Math WE1, Arnimallee 3, D-14195 Berlin, Germany

关键词: Crandall-Rabinowitz theorem;    Jumping nonlinearity;    Splitting of critical point;    Splitting of bifurcation half-branch;    Nondifferentiable bifurcation;    Homogenizable operator;   

DOI  :  10.1016/j.jmaa.2017.10.032

来源: Elsevier

【 摘 要 】

For a small Lipschitz perturbation of a smooth equation the existence of exactly two bifurcation points near a simple eigenvalue is shown. The result is applied to reaction-diffusion systems subject to Turing's diffusion-driven instability under small unilateral obstacles. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free