【摘 要】
:
Recently we have obtained the lower bounds of the total number of distinct closed geodesics on every compact simply-connected bumpy even dimensional Finsler
【机 构】
:
NankaiUniversity,China
【出 处】
:
2016年非线性偏微分方程和变分方法及其应用研讨会(Workshop on Nonlinear PDEs and Cal
论文部分内容阅读
Recently we have obtained the lower bounds of the total number of distinct closed geodesics on every compact simply-connected bumpy even dimensional Finsler manifold with non-negative flag curvature and odd dimensional Finsler manifold with pinching conditions on the flag curvature, and also got the non-hyperbolicity of these closed geodesics. All these lower bounds are sharp due to Katok-Ziller examples. This is a joint work with Yiming Long and Wei Wang.
其他文献
We calculate the exponents of first passage percolation(FPP)for a specific log-correlated Gaussian field.We also estimate the heat kernel of Liouville Brown
Galton-Watson trees and Levy trees characterize genealogy structures of Galton-Waston processes and continuous state branching processes,respectively.In thi
We prove some limit theorems for continuous time and state branching processes with immigration(CBI).The results in law are obtained by studying the Laplace
We study singularity formation for the harmonic map flow from a two dimensional domain into the sphere. We show that for suitable initial conditions the flo
We obtain new sign changing solutions to the problem ((ζ)∞)-△u = |u|2*-2u,u∈D1,2(RN), for N≥4 where 2*:= 2N/N-2 is the critical Sobolev exponent, and f
We present recent joint work with J. Mederski (Toru(n)) on the existence of solutions E : Ω→R3 of the problem {▽×(μ(x)-1▽×E)-ω2ε(x)E =(e)EF(x,E) in
This lecture deals with various recent developments concerning the old and very classical concept of topological degree for continuous maps from the circle
The fractional Yamabe problem, proposed by Gonzalez and Qing in 2013 as a nonlocal analogue of the famous Yamabe problem, is a geometric question which conc
We study bounded solutions of Allen-Cahn equation: -△u = u-u3 in Rn, corresponding to energy functional J(u) =∫|▽u|2+1/2(u2-1)2. A result of Savin states
In this talk, I will present a new inequality: the Sphere Covering Inequality. The inequality states that the total area of two distinct surfaces with Gauss