Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590404 | Journal of Functional Analysis | 2014 | 23 Pages |
Abstract
A slice distance for the class of weak abelian LpLp-bundles in 3 dimensions was introduced in [20], where it was used to prove the closure of such class of bundles for the weak LpLp-convergence. We further investigate this distance here, and we prove more properties of it, for example we show that it is Hölder-continuous on the slices of an LpLp-bundle. Using the same distance, we give a notion of a boundary trace, which allows to use the direct method for minimization problems on weak bundles with fixed trace. We then state some conjectures and some open questions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mircea Petrache,