| Issue |
ESAIM: COCV
Volume 7, 2002
|
|
|---|---|---|
| Page(s) | 495 - 519 | |
| DOI | https://doi.org/10.1051/cocv:2002065 | |
| Published online | 15 September 2002 | |
Integral representation and Γ-convergence of variational integrals with p(x)-growth
Dipartimento di Matematica,
Università di Parma, via M. D'Azeglio 85/A, 43100 Parma, Italy; domenico.mucci@unipr.it.
Received:
6
July
2001
We study the integral representation properties of limits of sequences of
integral functionals like 
under
nonstandard growth conditions of (p,q)-type: namely, we assume that
Under weak assumptions on the continuous function p(x), we prove
Γ-convergence to integral functionals of the same type.
We also analyse the case of integrands f(x,u,Du) depending explicitly
on u; finally we weaken the assumption allowing p(x) to be
discontinuous on nice sets.
Mathematics Subject Classification: 49J45 / 49M20 / 46E35
Key words: Integral representation / Γ-convergence / nonstandard growth conditions.
© EDP Sciences, SMAI, 2002
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