On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:408

Article

Portaluri, Alessandro¹  Waterstraat, Nils² 

[1] Univ Turin, Dipartimento Sci Agr Forestali & Alimentari, I-10095 Grugliasco, TO, Italy

[2] Politecn Torino, Dipartimento Sci Matemat, I-10129 Turin, Italy

关键词: Variational bifurcation;    Crossing forms;    Morse index theorem;    Semilinear elliptic PDE;   

DOI  :  10.1016/j.jmaa.2013.06.037

来源: Elsevier

【 摘 要 】

We study bifurcation from a branch of trivial solutions of semilinear elliptic Dirichlet boundary value problems on star-shaped domains, where the bifurcation parameter is introduced by shrinking the domain. In the proof of our main theorem we obtain in addition a special case of an index theorem due to S. Smale. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free