One-dimensional symmetry and Liouville ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in ℝ N
Auteur(s) :
Bonheure, Denis [Auteur]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Département de mathématiques Université Libre de Bruxelles
Hamel, François [Auteur]
Institut de Mathématiques de Marseille [I2M]
Quantitative methods for stochastic models in physics [MEPHYSTO]
Département de mathématiques Université Libre de Bruxelles
Hamel, François [Auteur]
Institut de Mathématiques de Marseille [I2M]
Titre de la revue :
Chinese Annals of Mathematics - Series B
Special Issue in Honor of Haim Brezis
Special Issue in Honor of Haim Brezis
Pagination :
149 - 172
Éditeur :
Springer Verlag
Date de publication :
2017-01
ISSN :
0252-9599
Mot(s)-clé(s) en anglais :
Gibbons' conjecture
one-dimensional symmetry
Liouville type results
Fourth order Allen-Cahn equation
one-dimensional symmetry
Liouville type results
Fourth order Allen-Cahn equation
Discipline(s) HAL :
Mathématiques [math]/Equations aux dérivées partielles [math.AP]
Résumé en anglais : [en]
In this paper, we prove an analogue of Gibbons' conjecture for the extended fourth order Allen-Cahn equation in R N , as well as Liouville type results for some solutions converging to the same value at infinity in a given ...
Lire la suite >In this paper, we prove an analogue of Gibbons' conjecture for the extended fourth order Allen-Cahn equation in R N , as well as Liouville type results for some solutions converging to the same value at infinity in a given direction. We also prove a priori bounds and further one-dimensional symmetry and rigidity results for semilinear fourth order elliptic equations with more general nonlinearities.Lire moins >
Lire la suite >In this paper, we prove an analogue of Gibbons' conjecture for the extended fourth order Allen-Cahn equation in R N , as well as Liouville type results for some solutions converging to the same value at infinity in a given direction. We also prove a priori bounds and further one-dimensional symmetry and rigidity results for semilinear fourth order elliptic equations with more general nonlinearities.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Projet ANR :
Commentaire :
Dedicated to Haïm Brezis with deep admiration.
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