Volume-constrained minimizers for the prescribed curvature problem in periodic media

M. Goldman; M. Novaga

doi:10.1007/s00526-011-0435-6

Volume-constrained minimizers for the prescribed curvature problem in periodic media

M. Goldman
, M. Novaga

University of Padova

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We establish existence of compact minimizers of the prescribed mean curvature problem with volume constraint in periodic media. As a consequence, we construct compact approximate solutions to the prescribed mean curvature equation. We also show convergence after rescaling of the volume-constrained minimizers towards a suitable Wulff Shape, when the volume tends to infinity.

langue originale	Anglais
Pages (de - à)	297-318
Nombre de pages	22
journal	Calculus of Variations and Partial Differential Equations
Volume	44
Numéro de publication	3-4
Les DOIs	https://doi.org/10.1007/s00526-011-0435-6
état	Publié - 1 juil. 2012

Accès au document

10.1007/s00526-011-0435-6

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{0f12021356f54cfaaa4bb398ee3445b2,

title = "Volume-constrained minimizers for the prescribed curvature problem in periodic media",

abstract = "We establish existence of compact minimizers of the prescribed mean curvature problem with volume constraint in periodic media. As a consequence, we construct compact approximate solutions to the prescribed mean curvature equation. We also show convergence after rescaling of the volume-constrained minimizers towards a suitable Wulff Shape, when the volume tends to infinity.",

author = "M. Goldman and M. Novaga",

year = "2012",

month = jul,

day = "1",

doi = "10.1007/s00526-011-0435-6",

language = "English",

volume = "44",

pages = "297--318",

journal = "Calculus of Variations and Partial Differential Equations",

issn = "0944-2669",

number = "3-4",

}

TY - JOUR

T1 - Volume-constrained minimizers for the prescribed curvature problem in periodic media

AU - Goldman, M.

AU - Novaga, M.

PY - 2012/7/1

Y1 - 2012/7/1

N2 - We establish existence of compact minimizers of the prescribed mean curvature problem with volume constraint in periodic media. As a consequence, we construct compact approximate solutions to the prescribed mean curvature equation. We also show convergence after rescaling of the volume-constrained minimizers towards a suitable Wulff Shape, when the volume tends to infinity.

AB - We establish existence of compact minimizers of the prescribed mean curvature problem with volume constraint in periodic media. As a consequence, we construct compact approximate solutions to the prescribed mean curvature equation. We also show convergence after rescaling of the volume-constrained minimizers towards a suitable Wulff Shape, when the volume tends to infinity.

UR - https://www.scopus.com/pages/publications/84860642503

U2 - 10.1007/s00526-011-0435-6

DO - 10.1007/s00526-011-0435-6

M3 - Article

AN - SCOPUS:84860642503

SN - 0944-2669

VL - 44

SP - 297

EP - 318

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3-4

ER -

Volume-constrained minimizers for the prescribed curvature problem in periodic media

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation