On bifurcation for semilinear elliptic Dirichlet problems on shrinking domains

Waterstraat, Nils (2015) On bifurcation for semilinear elliptic Dirichlet problems on shrinking domains. In: Escher, Joachim and Schrohe, Elmar and Seiler, Joerg and Walker, Christoph, eds. Elliptic and Parabolic Equations. Springer Proceedings in Mathematics & Statistics (119). Springer, Cham, pp. 273-291. ISBN 978-3-319-12546-6. (KAR id:51392)

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Abstract

We consider the Dirichlet problem for semilinear elliptic equations on a bounded domain which is diffeomorphic to a ball and investigate bifurcation from a given (trivial) branch of solutions, where the radius of the ball serves as bifurcation parameter. Our methods are based on well known results from

variational bifurcation theory, which we outline in a separate section for the readers' convenience.

Item Type: Book section 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 12:30 UTC 29 May 2019 16:15 UTC https://kar.kent.ac.uk/id/eprint/51392 (The current URI for this page, for reference purposes)