Quasiconvex variational functionals in Orlicz-Sobolev spaces

Dominic Breit; Anna Verde

doi:10.1007/s10231-011-0222-1

Quasiconvex variational functionals in Orlicz-Sobolev spaces

Dominic Breit^*
, Anna Verde

^*Corresponding author for this work

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

13 Citations (Scopus)

Abstract

We prove a C (1,alpha) partial regularity result for minimizers of variational integrals of the type

J[u] := integral(Omega) f(del u)dx, u : Omega subset of R-n --> R-N,

where the integrand f is strictly quasiconvex and satisfies suitable growth conditions in terms of Young functions.

Original language	English
Pages (from-to)	255-271
Number of pages	17
Journal	Annali di Matematica Pura ed Applicata
Volume	192
Issue number	2
DOIs	https://doi.org/10.1007/s10231-011-0222-1
Publication status	Published - Apr 2013

Keywords

Quasiconvex
Young functions
Partial regularity
PARTIAL REGULARITY
HARMONIC APPROXIMATION
LOWER SEMICONTINUITY
SUBQUADRATIC GROWTH
ELLIPTIC-SYSTEMS
OPTIMAL INTERIOR
INTEGRALS
MINIMIZERS
THEOREM

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10.1007/s10231-011-0222-1

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title = "Quasiconvex variational functionals in Orlicz-Sobolev spaces",

abstract = "We prove a C (1,alpha) partial regularity result for minimizers of variational integrals of the typeJ[u] := integral(Omega) f(del u)dx, u : Omega subset of R-n --> R-N,where the integrand f is strictly quasiconvex and satisfies suitable growth conditions in terms of Young functions.",

keywords = "Quasiconvex, Young functions, Partial regularity, PARTIAL REGULARITY, HARMONIC APPROXIMATION, LOWER SEMICONTINUITY, SUBQUADRATIC GROWTH, ELLIPTIC-SYSTEMS, OPTIMAL INTERIOR, INTEGRALS, MINIMIZERS, THEOREM",

author = "Dominic Breit and Anna Verde",

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TY - JOUR

T1 - Quasiconvex variational functionals in Orlicz-Sobolev spaces

AU - Breit, Dominic

AU - Verde, Anna

PY - 2013/4

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N2 - We prove a C (1,alpha) partial regularity result for minimizers of variational integrals of the typeJ[u] := integral(Omega) f(del u)dx, u : Omega subset of R-n --> R-N,where the integrand f is strictly quasiconvex and satisfies suitable growth conditions in terms of Young functions.

AB - We prove a C (1,alpha) partial regularity result for minimizers of variational integrals of the typeJ[u] := integral(Omega) f(del u)dx, u : Omega subset of R-n --> R-N,where the integrand f is strictly quasiconvex and satisfies suitable growth conditions in terms of Young functions.

KW - Quasiconvex

KW - Young functions

KW - Partial regularity

KW - PARTIAL REGULARITY

KW - HARMONIC APPROXIMATION

KW - LOWER SEMICONTINUITY

KW - SUBQUADRATIC GROWTH

KW - ELLIPTIC-SYSTEMS

KW - OPTIMAL INTERIOR

KW - INTEGRALS

KW - MINIMIZERS

KW - THEOREM

U2 - 10.1007/s10231-011-0222-1

DO - 10.1007/s10231-011-0222-1

M3 - Article

SN - 0373-3114

VL - 192

SP - 255

EP - 271

JO - Annali di Matematica Pura ed Applicata

JF - Annali di Matematica Pura ed Applicata

IS - 2

ER -

Quasiconvex variational functionals in Orlicz-Sobolev spaces

Abstract

Keywords

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