Sharp lower bounds for Poincaré-Sobolev constants λ_{p,q}(Ω) on convex Ω are given explicitly in terms of perimeter and volume powers, with new optimal Lebesgue-norm bounds on the distance function from the boundary.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Sharp Makai-type inequalities for the best Poincar\'e-Sobolev constants
Sharp lower bounds for Poincaré-Sobolev constants λ_{p,q}(Ω) on convex Ω are given explicitly in terms of perimeter and volume powers, with new optimal Lebesgue-norm bounds on the distance function from the boundary.