Some remarks on a formula for Sobolev norms due to Brezis, Van Schaftingen and Yung
نویسندگان
چکیده
We provide answers to some questions raised in a recent work by H. Brezis, J. Van Schaftingen and P.-L. Yung [2] , [3] concerning the Gagliardo semi-norm | u W s q computed at = 1 when strong L is replaced weak . In particular, we address generalization of results for general domain non-smooth functions.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2022
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2021.109312