Uniform Continuity and Br\'ezis-Lieb Type Splitting for Superposition Operators in Sobolev Space
Functional Analysis
2016-08-17 v4 Analysis of PDEs
Abstract
Using concentration-compactness arguments we prove a variant of the Brezis-Lieb-Lemma under weaker assumptions on the nonlinearity than known before. An intermediate result on the uniform continuity of superposition operators in Sobolev space is of independent interest.
Keywords
Cite
@article{arxiv.1111.4199,
title = {Uniform Continuity and Br\'ezis-Lieb Type Splitting for Superposition Operators in Sobolev Space},
author = {Nils Ackermann},
journal= {arXiv preprint arXiv:1111.4199},
year = {2016}
}