Parameterized splitting theorems and bifurcations for potential operators, Part I: Abstract theory
Year: 2021
Type: article
Abstract: This is the first part of a series devoting to the generalizations and applications of common theorems in variational bifurcation theory. Using parameterized versions of splitting theorems in Morse theory we generalize some famous bifurcation theorems for potential operators by weakening standard assumptions on the differentiability of the involved functionals, which opens up a way of bifurcation studies for quasi-linear elliptic boundary value problems.
DOI: 10.3934/dcds.2021154
Author: Guangcun Lu
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3209152234