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A double well potential system

Jaeyoung Byeon, Piero Montecchiari and Paul H. Rabinowitz
Analysis & PDE 9 (7) 1737 (2016)
DOI: 10.2140/apde.2016.9.1737
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Brake orbit solutions for semilinear elliptic systems with asymmetric double well potential

Francesca Alessio and Piero Montecchiari
Journal of Fixed Point Theory and Applications 19 (1) 691 (2017)
DOI: 10.1007/s11784-016-0370-4
See this article