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May/June 2015 Multiparameter bifurcation and symmetry breaking of solutions of elliptic differential equations
Joanna Kluczenko
Adv. Differential Equations 20(5/6): 531-556 (May/June 2015).

Abstract

In this article, we analyze solutions of the following system of elliptic differential equations \begin{equation*} \begin{cases} - \Delta u = \Lambda u + \nabla_u \eta(u, \Lambda) & \text{ in } \Omega\\ u = 0 & \text{ on } \partial \Omega. \end{cases} \end{equation*} We provide sufficient evidence to prove the existence of global bifurcation points of nontrivial solutions of this system. Moreover, we describe a symmetry breaking phenomenon that occurs on continua of nontrivial solutions of it.

Citation

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Joanna Kluczenko. "Multiparameter bifurcation and symmetry breaking of solutions of elliptic differential equations." Adv. Differential Equations 20 (5/6) 531 - 556, May/June 2015.

Information

Published: May/June 2015
First available in Project Euclid: 30 March 2015

zbMATH: 1316.35027
MathSciNet: MR3327706

Subjects:
Primary: 35B32

Rights: Copyright © 2015 Khayyam Publishing, Inc.

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Vol.20 • No. 5/6 • May/June 2015
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