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.

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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
Additional information: Imported from arXiv
Subjects: Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Nils Waterstraat
Date Deposited: 03 Nov 2015 12:30 UTC
Last Modified: 29 May 2019 16:15 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/51392 (The current URI for this page, for reference purposes)
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