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math.CA2021★ 21 cited
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail
Haïm Brezis, Jean Van Schaftingen, Po-Lam Yung
In the cases where there is no Sobolev-type or Gagliardo-Nirenberg-type fractional estimate involving , we establish alternative estimates where the stron…
math.AP2021
Quantitative characterization of traces of Sobolev maps
Katarzyna Mazowiecka, Jean Van Schaftingen
We give a quantitative characterization of traces on the boundary of Sobolev maps in , where and are compact Riem…