The paper determines the exact range of s and p for which singular projections preserve W^{s,p} regularity onto manifolds, proving full validity for sp < ℓ when s ≥ 1 and optimality of p < ℓ when s < 1 via counterexamples.
Detaille, A complete answer to the strong density problem in Sobolev spaces with values into compact manifolds , hal-04101953 https://hal.science/hal-04101953, 2023
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A surprising threshold for the validity of the method of singular projection
The paper determines the exact range of s and p for which singular projections preserve W^{s,p} regularity onto manifolds, proving full validity for sp < ℓ when s ≥ 1 and optimality of p < ℓ when s < 1 via counterexamples.