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]

Titre de la revue :

Chinese Annals of Mathematics - Series B
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

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 >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

INITIATIVE D'EXCELLENCE AIX MARSEILLE UNIVERSITE
Phénomènes de propagation et équations non locales

Commentaire :

Dedicated to Haïm Brezis with deep admiration.

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL