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.

A DOUBLE WELL POTENTIAL SYSTEM / Jaeyoung, Byeon; Montecchiari, Piero; Rabinowitz, PAUL H.. - In: ANALYSIS & PDE. - ISSN 2157-5045. - 9:7(2016), pp. 1737-1772. [10.2140/apde.2016.9.1737]

A DOUBLE WELL POTENTIAL SYSTEM

MONTECCHIARI, Piero;
2016-01-01

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.
2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11566/239753
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