On bifurcation for semilinear elliptic Dirichlet problems on shrinking domains
Analysis of PDEs
2017-02-07 v1 Differential Geometry
Functional Analysis
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.
Cite
@article{arxiv.1403.4151,
title = {On bifurcation for semilinear elliptic Dirichlet problems on shrinking domains},
author = {Nils Waterstraat},
journal= {arXiv preprint arXiv:1403.4151},
year = {2017}
}
Comments
18 pages; survey article based on arXiv:1305.3078 and arXiv:1301.1458