Parameterized splitting theorems and bifurcations for potential operators
Functional Analysis
2020-03-26 v2 Analysis of PDEs
Abstract
We show that parameterized versions of splitting theorems in Morse theory can be effectively used to generalize some famous bifurcation theorems for potential operators. In particular, such generalizations based on the author's recent splitting theorems [38, 39, 42, 43] and that of [8] are given though potential operators in [42, 43] have weaker differentiability, even discontinuous. As applications, we obtain many bifurcation results for quasi-linear elliptic Euler equations and systems of higher order.
Cite
@article{arxiv.1712.03479,
title = {Parameterized splitting theorems and bifurcations for potential operators},
author = {Guangcun Lu},
journal= {arXiv preprint arXiv:1712.03479},
year = {2020}
}
Comments
73 pages. arXiv admin note: a complete rewriting and large extension for last version