Existence of Strong and Nontrivial Solutions to Strongly Coupled Elliptic Systems

2016/03/17 by Le, Dung
#35B65 #35J70 #42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1603.05481

Abstract

We establish the existence of strong solutions to a class of nonlinear strongly coupled and uniform elliptic systems consisting of more than two equations. The existence of of nontrivial and non constant solutions (or pattern formations) will also be studied.

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