3 papers
math.SP2026
The Weinstock inequality for convex domains in hyperbolic space
Jin Sun, Lili Wang, Tao Wang
We prove the Weinstock inequality for the first Steklov eigenvalue of convex domains in hyperbolic space , resolving Open Question 4.27 of Colbois-Girouard-Gordon-S…
math.AP2026
Upper bound for the first -Steklov eigenvalue in
Lili Wang, Tao Wang
For and any bounded convex domain , we prove the sharp inequality \[ Î_p(Ω):=\frac{W_p(Ω)}{P(Ω)V(Ω)^{p/n}}\geqÏ_n^{-p/n}, \qquad W_p(Ω)=\i…
math.DG2025
Isocapacitary constants for the -Laplacian on compact manifolds
Lili Wang, Tao Wang
In this paper, we introduce Steklov and Neumann isocapacitary constants for the -Laplacian on compact manifolds. These constants yield two-sided bounds for the -Sobolev…