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A
double well potential system
Jaeyoung Byeon, Piero Montecchiari and Paul H. Rabinowitz |
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Vol. 9 (2016), No. 7, 1737–1772
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DOI: 10.2140/apde.2016.9.1737
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Abstract |
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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. |
Keywords
elliptic system, double well potential, heteroclinic,
minimization
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Mathematical Subject Classification 2010
Primary: 35J47
Secondary: 35J57, 58E30
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Milestones
Received: 23 March 2016
Revised: 26 June 2016
Accepted: 30 July 2016
Published: 7 November 2016
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Authors |
| Jaeyoung Byeon | |
| Department of Mathematical
Sciences KAIST 291 Daehak-ro, Yuseong-gu Daejeon 305-701 South Korea |
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| Piero Montecchiari | |
| Dipartimento di Ingegneria Civile,
Edile e Architettura Università Politecnica delle Marche Via brecce bianche Ancona I-60131 Italy |
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| Paul H. Rabinowitz | |
| Department of Mathematics University of Wisconsin–Madison Madison, WI 53706 United States |
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