Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: calculus of variations

Sortuj według:

Ogranicz wyniki do:

Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces

100%

Hakkarainen H., Kinnunen J., Lahti P., Lehtelä P.

Analysis and Geometry in Metric Spaces

2016

tom 4

nr 1

This article studies an integral representation of functionals of linear growth on metric measure spaces with a doubling measure and a Poincaré inequality. Such a functional is defined via relaxation, and it defines a Radon measure on the space. For the singular part of the functional, we get the expected integral representation with respect to the variation measure. A new feature is that in the representation for the absolutely continuous part, a constant appears already in the weighted Euclidean case. As an application we show that in a variational minimization problem involving the functional, boundary values can be presented as a penalty term.

Ograniczanie wyników

1 Analysis and Geometry in Metric Spaces

1 Hakkarainen H.

1 Kinnunen J.

1 Lahti P.

1 Lehtelä P.

1 2016

Wyniki wyszukiwania

Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces