English

On the exact number of bifurcation branches from a multiple eigenvalue

Analysis of PDEs 2007-05-23 v1

Abstract

We study local bifurcation from an eigenvalue with multiplicity greater than one for a class of semilinear elliptic equations. We evaluate the exact number of bifurcation branches of non trivial solutions and we compute the Morse index of the solutions in those branches.

Cite

@article{arxiv.math/0509013,
  title  = {On the exact number of bifurcation branches from a multiple eigenvalue},
  author = {Dimitri Mugnai and Angela Pistoia},
  journal= {arXiv preprint arXiv:math/0509013},
  year   = {2007}
}

Comments

24 pages

R2 v1 2026-07-22T17:23:59.835Z