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- Title
Lower semicontinuity for higher order integrals below the growth exponent.
- Authors
Giannetti, Flavia
- Abstract
We study the lower semicontinuity of functionals of the form with respect to the weak convergence in W(Ω), where $${{\mathcal L}}$$ is a linear differential operator of order k ≥ 1 and f is quasiconvex with respect to the operator $${{\mathcal L}}$$ and satisfies 0 ≤ f( x, s, ξ) ≤ c (1 + | ξ|) with q ≥ p > 1.
- Subjects
INTEGRALS; STOCHASTIC convergence; FUNCTIONALS; CONVEX functions; DIFFERENTIAL operators
- Publication
Manuscripta Mathematica, 2011, Vol 136, Issue 1/2, p143
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/s00229-011-0434-0