Notes on a slice distance for singular L-p-bundles

作者：Petrache Mircea^*

来源：Journal of Functional Analysis, 2014, 267(2): 405-427.

DOI：10.1016/j.jfa.2014.05.001

• Slice distance
• Boundary trace
• Singular bundles
• Topological singularities

A slice distance for the class of weak abelian L-P-bundles in 3 dimensions was introduced in [20], where it was used to prove the closure of such class of bundles for the weak L-P-convergence. We further investigate this distance here, and we prove more properties of it, for example we show that it is Holder-continuous on the slices of an L-P-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.

• 出版日期2014-7-15