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Publicly Available Published by De Gruyter March 10, 2016

Entire Solutions with Six-fold Junctions to Elliptic Gradient Systems with Triangle Symmetry

Peter Bates , Giorgio Fuscoy and Panayotis Smyrnelis

Abstract

We prove the existence of solutions to three-fold symmetric elliptic systems in ℝ2 which have six-fold symmetry, asymptotically approaching each of three minima of the potential as |x| → ∞ in two antipodal sectors of angle π/3.

Published Online: 2016-03-10
Published in Print: 2013-02-01

© 2016 by Advanced Nonlinear Studies, Inc.

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