4 papers
Counterexamples to Escobar's conjecture
Jin Sun, Lili Wang, Tao Wang
Escobar (J Funct Anal 165(1):101-116, 1999) conjectured that for every , an -dimensional compact Riemannian manifold with nonnegative Ricci curvature and all boundary pr…
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…
Upper bound for the first -Steklov eigenvalue in
Lili Wang, Tao Wang
For and any bounded convex domain , we prove the sharp inequality \[ Λ_p(Ω):=\frac{W_p(Ω)}{P(Ω)V(Ω)^{p/n}}\geqω_n^{-p/n}, \qquad W_p(Ω)=\int_{\par…
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 c…