Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
Arch. Rational Mech. Anal. 156 (2001) 121140 Digital Object Identifier (DOI) 10.1007/s002050100117
 

Summary: Arch. Rational Mech. Anal. 156 (2001) 121­140
Digital Object Identifier (DOI) 10.1007/s002050100117
Regularity Results for a Class of Functionals
with Non-Standard Growth
Emilio Acerbi & Giuseppe Mingione
Communicated by L. Ambrosio
Abstract
We consider the integral functional
f (x, Du) dx
under non-standard growth assumptions that we call p(x) type: namely, we assume
that
|z|p(x)
f (x, z) L(1 + |z|p(x)
),
a relevant model case being the functional
|Du|p(x)
dx.
Under sharp assumptions on the continuous function p(x) > 1 we prove regular-
ity of minimizers. Energies exhibiting this growth appear in several models from
mathematical physics.

  

Source: Acerbi, Emilio - Dipartimento di Matematica, Universitą degli Studi di Parma

 

Collections: Mathematics