Uniform continuity and Brézis–Lieb-type splitting for superposition operators in Sobolev space
Using concentration-compactness arguments, we prove a variant of the Brézis–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.
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-11-01
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| Series: | Advances in Nonlinear Analysis |
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| Online Access: | https://doi.org/10.1515/anona-2016-0123 |