A double well potential system

Jaeyoung Byeon; Piero Montecchiari; Paul H. Rabinowitz

doi:10.2140/apde.2016.9.1737

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Home > Journals > Anal. PDE > Volume 9 > Issue 7 > Article

2016 A double well potential system

Jaeyoung Byeon, Piero Montecchiari, Paul H. Rabinowitz

Anal. PDE 9(7): 1737-1772 (2016). DOI: 10.2140/apde.2016.9.1737

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Abstract

A semilinear elliptic system of PDEs with a nonlinear term of double well potential type is studied in a cylindrical domain. The existence of solutions heteroclinic to the bottom of the wells as minima of the associated functional is established. Further applications are given, including the existence of multitransition solutions as local minima of the functional.

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Jaeyoung Byeon. Piero Montecchiari. Paul H. Rabinowitz. "A double well potential system." Anal. PDE 9 (7) 1737 - 1772, 2016. https://doi.org/10.2140/apde.2016.9.1737