Parameterized splitting theorems and bifurcations for potential operators, Part II: Applications to quasi-linear elliptic equations and systems

TL;DR

This paper applies advanced bifurcation theorems to quasi-linear elliptic boundary value problems, establishing new results for higher-order equations and systems in variational bifurcation theory.

Contribution

It introduces novel bifurcation results for complex elliptic problems using abstract theorems from the first part of the series.

Findings

New bifurcation results for higher-order quasi-linear elliptic equations

Applications to systems of elliptic boundary value problems

Extension of variational bifurcation theory methods

Abstract

This is the second part of a series devoting to the generalizations and applications of common theorems in variational bifurcation theory. Using abstract theorems in the first part we obtain many new bifurcation results for quasi-linear elliptic boundary value problems of higher order.