Relaxation of nonconvex unbounded integrals with general growth conditions in Cheeger-Sobolev spaces
Omar Anza Hafsa, Jean-Philippe Mandallena
TL;DR
This paper investigates the relaxation of complex, nonconvex integrals within Cheeger-Sobolev spaces, addressing challenges posed by integrands with non-polynomial growth and infinite values.
Contribution
It extends relaxation theory to nonconvex integrals with general growth conditions in Cheeger-Sobolev spaces, a setting not previously well-understood.
Findings
Established relaxation results for nonconvex integrals with general growth
Addressed integrands that can take infinite values
Extended calculus of variations in Cheeger-Sobolev spaces
Abstract
We study relaxation of nonconvex integrals of the calculus of variations in the setting of Cheeger-Sobolev spaces when the integrand has not polynomial growth and can take infinite values.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.