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math.DG2024
The first Steklov eigenvalue on manifolds with nonnegative Ricci curvature and convex boundary
Jonah A. J. Duncan, Aditya Kumar
We establish a new lower bound for the first non-zero Steklov eigenvalue of a compact Riemannian manifold with non-negative Ricci curvature and (strictly) convex boundary. Related…
math.AP2024
Fully nonlinear Yamabe-type problems on non-compact manifolds
Jonah A. J. Duncan, Yi Wang
We obtain existence results for a class of fully nonlinear Yamabe-type problems on non-compact manifolds, addressing both the so-called positive and negative cases. We also give ex…