Refines Brendle's ABP contact-set argument to prove Michael-Simon inequalities with lower-order terms for submanifolds in nonnegative-curvature manifolds under volume noncollapsing, plus an ABP proof of Varopoulos' L1-Sobolev inequality.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.DG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Sobolev and Michael-Simon inequalities via the ABP method beyond Euclidean volume growth
Refines Brendle's ABP contact-set argument to prove Michael-Simon inequalities with lower-order terms for submanifolds in nonnegative-curvature manifolds under volume noncollapsing, plus an ABP proof of Varopoulos' L1-Sobolev inequality.