For bounded C^2 convex domains and p>1, the first weighted p-Laplace eigenfunction is log-concave and its first eigenvalue satisfies λ(Ω_t) ≤ (1-t)λ(Ω_0)+tλ(Ω_1).
Borell, Capacitary inequalities of the Brunn-Minkowski type, M ath
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator
For bounded C^2 convex domains and p>1, the first weighted p-Laplace eigenfunction is log-concave and its first eigenvalue satisfies λ(Ω_t) ≤ (1-t)λ(Ω_0)+tλ(Ω_1).