Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 28 (2021), No. 3, 959--966
Copyright Heldermann Verlag 2021

Field Theory for Integrands with Low Regularity

Richard Gratwick
School of Mathematics, The University of Edinburgh, United Kingdom

Mikhail A. Sychev
Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia

We develop a field theory for one-dimensional variational problems defined via integrands with low regularity and singular ellipticity. This is developed via a priori existence and regularity results for one-dimensional obstacle problems with such integrands.

Keywords: Integral functionals, obstacle problems, singular ellipticity, Tonelli regularity, existence and regularity in small, field theory.

MSC: 49N60.

[ Fulltext-pdf  (95  KB)] for subscribers only.