On the minimizers of calculus of variations problems in Hilbert spaces

Diogo A. Gomes; Levon Nurbekyan

doi:10.1007/s00526-013-0705-6

On the minimizers of calculus of variations problems in Hilbert spaces

Diogo A. Gomes, Levon Nurbekyan

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

5 Scopus citations

Abstract

The objective of this paper is to discuss existence, uniqueness and regularity issues of minimizers of one dimensional calculus of variations problem in Hilbert spaces. © 2014 Springer-Verlag Berlin Heidelberg.

Original language	English (US)
Pages (from-to)	65-93
Number of pages	29
Journal	Calculus of Variations and Partial Differential Equations
Volume	52
Issue number	1-2
DOIs	https://doi.org/10.1007/s00526-013-0705-6
State	Published - Jan 19 2014

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: D. Gomes was partially supported by CAMGSD-LARSys through FCT-Portugal and by grants PTDC/MAT/114397/2009, UTAustin/MAT/0057/2008, and UTA-CMU/MAT/0007/2009. L. Nurbekyan was supported by the UT Austin-Portugal partnership through the FCT fellowship SFRH/BD/33972/2009 and by grant UTA-CMU/MAT/0007/2009.

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1007/s00526-013-0705-6

Cite this

@article{04c04acf48c74e50a20bed0d77df1737,

title = "On the minimizers of calculus of variations problems in Hilbert spaces",

abstract = "The objective of this paper is to discuss existence, uniqueness and regularity issues of minimizers of one dimensional calculus of variations problem in Hilbert spaces. {\textcopyright} 2014 Springer-Verlag Berlin Heidelberg.",

author = "Gomes, {Diogo A.} and Levon Nurbekyan",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: D. Gomes was partially supported by CAMGSD-LARSys through FCT-Portugal and by grants PTDC/MAT/114397/2009, UTAustin/MAT/0057/2008, and UTA-CMU/MAT/0007/2009. L. Nurbekyan was supported by the UT Austin-Portugal partnership through the FCT fellowship SFRH/BD/33972/2009 and by grant UTA-CMU/MAT/0007/2009.",

year = "2014",

month = jan,

day = "19",

doi = "10.1007/s00526-013-0705-6",

language = "English (US)",

volume = "52",

pages = "65--93",

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

issn = "0944-2669",

publisher = "Springer Verlag",

number = "1-2",

}

TY - JOUR

T1 - On the minimizers of calculus of variations problems in Hilbert spaces

AU - Gomes, Diogo A.

AU - Nurbekyan, Levon

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: D. Gomes was partially supported by CAMGSD-LARSys through FCT-Portugal and by grants PTDC/MAT/114397/2009, UTAustin/MAT/0057/2008, and UTA-CMU/MAT/0007/2009. L. Nurbekyan was supported by the UT Austin-Portugal partnership through the FCT fellowship SFRH/BD/33972/2009 and by grant UTA-CMU/MAT/0007/2009.

PY - 2014/1/19

Y1 - 2014/1/19

N2 - The objective of this paper is to discuss existence, uniqueness and regularity issues of minimizers of one dimensional calculus of variations problem in Hilbert spaces. © 2014 Springer-Verlag Berlin Heidelberg.

AB - The objective of this paper is to discuss existence, uniqueness and regularity issues of minimizers of one dimensional calculus of variations problem in Hilbert spaces. © 2014 Springer-Verlag Berlin Heidelberg.

UR - http://hdl.handle.net/10754/563342

UR - http://link.springer.com/10.1007/s00526-013-0705-6

UR - http://www.scopus.com/inward/record.url?scp=84927167261&partnerID=8YFLogxK

U2 - 10.1007/s00526-013-0705-6

DO - 10.1007/s00526-013-0705-6

M3 - Article

SN - 0944-2669

VL - 52

SP - 65

EP - 93

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 1-2

ER -

On the minimizers of calculus of variations problems in Hilbert spaces

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this