English

On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls

Analysis of PDEs 2014-04-28 v1 Differential Geometry Functional Analysis

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

Cite

@article{arxiv.1305.3078,
  title  = {On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls},
  author = {Alessandro Portaluri and Nils Waterstraat},
  journal= {arXiv preprint arXiv:1305.3078},
  year   = {2014}
}

Comments

8 pages

R2 v1 2026-06-22T00:16:08.358Z