On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Portaluri, Alessandro¹  Waterstraat, Nils² 

[1] Univ Turin, Dept Agr Forest & Food Sci, I-10095 Grugliasco, TO, Italy

[2] Humboldt Univ, Inst Math, D-10099 Berlin, Germany

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

DOI  :  10.1016/j.jmaa.2014.01.064

来源: Elsevier

【 摘 要 】

We study bifurcation from a branch of trivial solutions of semilinear elliptic Dirichlet boundary value problems on a geodesic ball, whose radius is used as the bifurcation parameter. In the proof of our main theorem we obtain in addition a special case of an index theorem due to S. Smale. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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