Some results on minimizers and stable solutions of a variational problem

Alberto Farina; Enrico Valdinoci

doi:10.1017/S0143385711000198

Some results on minimizers and stable solutions of a variational problem

Alberto Farina, Enrico Valdinoci

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We consider the functional (formula presente) in a periodic setting. We discuss whether the minimizers or the stable solutions satisfy some symmetry or monotonicity properties, with special emphasis on the autonomous case when F is x-independent. In particular, we give an answer to a question posed by Victor Bangert when F is autonomous in dimension n 3 and in any dimension for non-zero rotation vectors.

Original language	English
Pages (from-to)	1302-1312
Number of pages	11
Journal	Ergodic Theory and Dynamical Systems
Volume	32
Issue number	4
DOIs	https://doi.org/10.1017/S0143385711000198
Publication status	Published - 1 Aug 2012
Externally published	Yes

Access to Document

10.1017/S0143385711000198

Cite this

@article{f919df36561049d0ad78fa63fbc891e5,

title = "Some results on minimizers and stable solutions of a variational problem",

abstract = "We consider the functional (formula presente) in a periodic setting. We discuss whether the minimizers or the stable solutions satisfy some symmetry or monotonicity properties, with special emphasis on the autonomous case when F is x-independent. In particular, we give an answer to a question posed by Victor Bangert when F is autonomous in dimension n 3 and in any dimension for non-zero rotation vectors.",

author = "Alberto Farina and Enrico Valdinoci",

year = "2012",

month = aug,

day = "1",

doi = "10.1017/S0143385711000198",

language = "English",

volume = "32",

pages = "1302--1312",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "4",

}

TY - JOUR

T1 - Some results on minimizers and stable solutions of a variational problem

AU - Farina, Alberto

AU - Valdinoci, Enrico

PY - 2012/8/1

Y1 - 2012/8/1

N2 - We consider the functional (formula presente) in a periodic setting. We discuss whether the minimizers or the stable solutions satisfy some symmetry or monotonicity properties, with special emphasis on the autonomous case when F is x-independent. In particular, we give an answer to a question posed by Victor Bangert when F is autonomous in dimension n 3 and in any dimension for non-zero rotation vectors.

AB - We consider the functional (formula presente) in a periodic setting. We discuss whether the minimizers or the stable solutions satisfy some symmetry or monotonicity properties, with special emphasis on the autonomous case when F is x-independent. In particular, we give an answer to a question posed by Victor Bangert when F is autonomous in dimension n 3 and in any dimension for non-zero rotation vectors.

UR - https://www.scopus.com/pages/publications/84863962054

U2 - 10.1017/S0143385711000198

DO - 10.1017/S0143385711000198

M3 - Article

AN - SCOPUS:84863962054

SN - 0143-3857

VL - 32

SP - 1302

EP - 1312

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 4

ER -

Some results on minimizers and stable solutions of a variational problem

Abstract

Access to Document

Other files and links

Fingerprint

Cite this