Geodesic
A maximum principle for systems with variational structure and an application to standing waves
Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1547-1567.

Voir la notice de l'article provenant de la source EMS Press

We establish via variational methods the existence of a standing wave together with an estimate on the convergence to its asymptotic states for a bistable system of partial differential equations on a periodic domain. The main tool is a replacement lemma which has as a corollary a maximum principle for minimizers.
DOI : 10.4171/jems/538
Classification : 35-XX
Keywords: Vector Allen–Cahn equation, standing waves, periodic domains, maximum principle for (vector) minimizers 
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     author = {Nicholas D. Alikakos and Giorgio Fusco},
     title = {A maximum principle for systems with variational structure and an application to standing waves},
     journal = {Journal of the European Mathematical Society},
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Nicholas D. Alikakos; Giorgio Fusco. A maximum principle for systems with variational structure and an application to standing waves. Journal of the European Mathematical Society, Tome 17 (2015) no. 7, pp. 1547-1567. doi : 10.4171/jems/538. http://geodesic.mathdoc.fr/articles/10.4171/jems/538/

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