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# On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

Portaluri, Alessandro, Waterstraat, Nils (2014) On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls. Journal of Mathematical Analysis and Applications, 415 (1). pp. 240-246. ISSN 0022-247X. (doi:10.1016/j.jmaa.2014.01.064)

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http://www.dx.doi.org/10.1016/j.jmaa.2014.01.064

## 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.

Item Type: Article 10.1016/j.jmaa.2014.01.064 Imported from arXiv Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics Nils Waterstraat 03 Nov 2015 16:11 UTC 29 May 2019 16:15 UTC https://kar.kent.ac.uk/id/eprint/51397 (The current URI for this page, for reference purposes)
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