2 papers
math.DG2026
Eigenvalues on spheres
Shengjie Lin, Haibin Wang, Guoyi Xu
For every smooth Riemannian metric on the two sphere whose Gaussian curvature is bounded below by one, we prove that each positive Laplace eigenvalue, counted with multiplicity, is…
math.AP2026
Uniform estimates and Brezis-Merle type inequalities for the -Hessian equation
Jie Deng, Haibin Wang, Bin Zhou
In this paper, we prove a Brezis-Merle type inequality for -convex functions vanishing on the boundary. As an application, we establish an Alexandrov-Bakelman-Pucci type estimat…