Publication:

Min-max theory for minimal hypersurfaces with boundary

Date

Date

Date
2018
Journal Article
Published version

Citations

Citation copied

De Lellis, C., & Ramic, J. (2018). Min-max theory for minimal hypersurfaces with boundary. Annales de l’Institut Fourier, 68, 1909–1986. https://doi.org/10.5802/aif.3200

Abstract

Abstract

Abstract

In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply it to prove several theorems about the existence of embedded minimal hypersurfaces with a given boundary. A simpler variant of these theorems holds also for the case of the free boundary minimal surfaces.

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3 since deposited on 2019-01-17
Acq. date: 2025-11-12

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1 since deposited on 2019-01-17
Acq. date: 2025-11-12

Additional indexing

Creators (Authors)

  • De Lellis, Camillo
    affiliation.icon.alt
  • Ramic, Jusuf
    affiliation.icon.alt

Journal/Series Title

Journal/Series Title

Journal/Series Title

Volume

Volume

Volume
68

Number

Number

Number
5

Page range/Item number

Page range/Item number

Page range/Item number
1909

Page end

Page end

Page end
1986

Item Type

Item Type

Item Type
Journal Article

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Dewey Decimal Classifikation

Keywords

Geometry and Topology, Algebra and Number Theory

Language

Language

Language
English

Publication date

Publication date

Publication date
2018-11-23

Date available

Date available

Date available
2019-01-17

ISSN or e-ISSN

ISSN or e-ISSN

ISSN or e-ISSN
0373-0956

OA Status

OA Status

OA Status
Gold

Free Access at

Free Access at

Free Access at
DOI

Metrics

Downloads

3 since deposited on 2019-01-17
Acq. date: 2025-11-12

Views

1 since deposited on 2019-01-17
Acq. date: 2025-11-12

Citations

Citation copied

De Lellis, C., & Ramic, J. (2018). Min-max theory for minimal hypersurfaces with boundary. Annales de l’Institut Fourier, 68, 1909–1986. https://doi.org/10.5802/aif.3200

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