5 papers
Estimates of -capacity for manifolds with Ricci curvature bounded from below
Xiaoshang Jin, Zhiwei Lü, Jiabin Yin
We study sharp estimates for the -capacity on complete non-compact Riemannian manifolds under lower Ricci curvature bounds. First, we establish sharp comparison inequalities for…
Large -Capacitary Invariants, Entropy, and Geometric Rank
Xiaoshang Jin, Jiabin Yin
We introduce large- asymptotic invariants associated with the -capacity, the first -eigenvalue, and the Maz'ya constant on connected complete noncompact Riemannian manifol…
Mass--Capacity Inequalities in Asymptotically Flat Half-Spaces
Chao Xia, Jiabin Yin, Xingjian Zhou
In this paper, we establish general monotone quantities and sharp mass-capacity inequalities related to -capacitary functions in -dimensional asymptotically flat half-spaces…
The first nonzero eigenvalue of the weighted p-Laplacian on differential forms
Mingzhu Miao, Xuerong Qi, Jiabin Yin
We introduce the weighted p-Laplace operator acting on differential forms on a metric measure space, which is a natural generalization of the p-Laplace operator defined by Seto [32…
General monotone formula for homogeneous -Hessian equation in the exterior domain and its applications
Jiabin Yin, Xingjian Zhou
In this paper, we deal with an overdetermined problem for the -Hessian equation () in the exterior domain and prove the corresponding ball characterizations. S…