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On the Relaxation of Unbounded Multiple Integrals by Hafsa, Omar Anza; Mandallena, Jean Philippe is a scholarly article available to read on EtoBox.

What is On the Relaxation of Unbounded Multiple Integrals about?

We study the relaxation of multiple integrals of the calculus of variations, where the integrands are nonconvex with convex effective domain and can take the value \infty. We use local techniques based on measure arguments to prove integral representation in Sobolev spaces of functions which are almost everywhere differentiable. Applications are given in the scalar case and in the case of integrands with quasiconvex growth and p(x)-growth.

Author

Hafsa, Omar Anza; Mandallena, Jean Philippe

Published

2012

Language

EN