As s approaches 0+, s-harmonic functions u_s have asymptotics and s-derivatives expressible via the logarithmic Laplacian of extensions of the exterior data g, yielding pointwise monotonicity in s for many g.
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
-
$s$-harmonic functions in the small order limit
As s approaches 0+, s-harmonic functions u_s have asymptotics and s-derivatives expressible via the logarithmic Laplacian of extensions of the exterior data g, yielding pointwise monotonicity in s for many g.