For every singular weight |x|^{-2β} and every α below the first Hardy eigenvalue, the supremum of ∫_B e^{4π(1−β)u²}|x|^{-2β} dx over the improved Hardy unit ball is finite and attained.
Y ang, An interpolation of Hardy inequalit y and Trudinger-Moser inequality in RN and its applica- tions, Int
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Extremal functions for a singular Hardy-Moser-Trudinger inequality
For every singular weight |x|^{-2β} and every α below the first Hardy eigenvalue, the supremum of ∫_B e^{4π(1−β)u²}|x|^{-2β} dx over the improved Hardy unit ball is finite and attained.