Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840770 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 18 Pages |
Abstract
In this article we study global bifurcations of weak solutions of the following variational system of elliptic differential equations {−Δu=λAu+∇uη(u,λ)in Ωu=0on ∂Ω. We prove sufficient conditions for the existence of unbounded continua of nontrivial solutions emanating from the trivial ones and necessary conditions for the existence of bounded continua. Moreover, we describe a symmetry breaking phenomenon that occurs on that continua.
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Authors
Joanna Kluczenko,