On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

Alessandro Portaluri; Nils Waterstraat

doi:10.1016/j.jmaa.2014.01.064

On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

Alessandro Portaluri, Nils Waterstraat

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	240-246
Number of pages	7
Journal	Journal of Mathematical Analysis and Applications
Volume	415
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2014.01.064
State	Published - Jul 1 2014

Keywords

Crossing forms
Morse index theorem
Semilinear elliptic PDE
Variational bifurcation

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2014.01.064

Cite this

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title = "On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls",

abstract = "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.",

keywords = "Crossing forms, Morse index theorem, Semilinear elliptic PDE, Variational bifurcation",

author = "Alessandro Portaluri and Nils Waterstraat",

year = "2014",

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doi = "10.1016/j.jmaa.2014.01.064",

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AU - Waterstraat, Nils

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N2 - 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.

AB - 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.

KW - Crossing forms

KW - Morse index theorem

KW - Semilinear elliptic PDE

KW - Variational bifurcation

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M3 - Article

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JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

Abstract

Keywords

ASJC Scopus subject areas

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