On the regularity of solutions in the Pucci-Serrin identity

Marco Degiovanni; Alessandro Musesti; Marco Squassina

doi:10.1007/s00526-003-0208-y

On the regularity of solutions in the Pucci-Serrin identity

Marco Degiovanni^*
, Alessandro Musesti
, Marco Squassina

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo › peer review

37 Citazioni (Scopus)

Abstract

We extend a celebrated identity by P. Pucci and J. Serrin, concerning C^2 solutions of Euler equations of functionals of the calculus of variations, to the case of C^1 solutions under the only additional assumption of strict convexity in the gradient. Some particular cases in which the mere convexity is sufficient are also considered.

Lingua originale	Inglese
pagine (da-a)	317-334
Numero di pagine	18
Rivista	Calculus of Variations and Partial Differential Equations
Volume	18
Numero di pubblicazione	3
DOI	https://doi.org/10.1007/s00526-003-0208-y
Stato di pubblicazione	Pubblicato - 2003

All Science Journal Classification (ASJC) codes

Analisi
Matematica Applicata

Keywords

Nonlinear elliptic partial differential equations

Accesso al documento

10.1007/s00526-003-0208-y

Altri file e collegamenti

Cita questo

@article{1dce65811b0346c9a11ddc595d84de51,

title = "On the regularity of solutions in the Pucci-Serrin identity",

abstract = "We extend a celebrated identity by P. Pucci and J. Serrin, concerning C\textasciicircum{}2 solutions of Euler equations of functionals of the calculus of variations, to the case of C\textasciicircum{}1 solutions under the only additional assumption of strict convexity in the gradient. Some particular cases in which the mere convexity is sufficient are also considered.",

keywords = "Nonlinear elliptic partial differential equations, Nonlinear elliptic partial differential equations",

author = "Marco Degiovanni and Alessandro Musesti and Marco Squassina",

year = "2003",

doi = "10.1007/s00526-003-0208-y",

language = "English",

volume = "18",

pages = "317--334",

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

issn = "0944-2669",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - On the regularity of solutions in the Pucci-Serrin identity

AU - Degiovanni, Marco

AU - Musesti, Alessandro

AU - Squassina, Marco

PY - 2003

Y1 - 2003

N2 - We extend a celebrated identity by P. Pucci and J. Serrin, concerning C^2 solutions of Euler equations of functionals of the calculus of variations, to the case of C^1 solutions under the only additional assumption of strict convexity in the gradient. Some particular cases in which the mere convexity is sufficient are also considered.

AB - We extend a celebrated identity by P. Pucci and J. Serrin, concerning C^2 solutions of Euler equations of functionals of the calculus of variations, to the case of C^1 solutions under the only additional assumption of strict convexity in the gradient. Some particular cases in which the mere convexity is sufficient are also considered.

KW - Nonlinear elliptic partial differential equations

UR - https://publicatt.unicatt.it/handle/10807/86907

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=0242550921&origin=inward

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0242550921&origin=inward

U2 - 10.1007/s00526-003-0208-y

DO - 10.1007/s00526-003-0208-y

M3 - Article

SN - 0944-2669

VL - 18

SP - 317

EP - 334

JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 3

ER -

On the regularity of solutions in the Pucci-Serrin identity

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo