3 papers
math.DS2023
Ten limit cycles near a cubic homoclinic loop with a nilpotent cusp
Yun Tian, Didi Ma
In this paper, we study the bifurcation of limit cycles near a homoclinic cuspidal loop in a planar cubic near-Hamiltonian system by high-order Melnikov functions. We present a met…
math.AP2022
A class of generalized fully nonlinear curvature flows and its applications
Jinrong Hu, Jiaqian Liu, Di Ma +1
In this paper, we concern a generalized fully nonlinear curvature flow involving -th elementary symmetric function for principal curvature radii in Eulidean space $\rnnn$, i…
math.AP2021
A flow method to the Orlicz-Aleksandrov problem
Jinrong Hu, Jiaqian Liu, Di Ma
In this paper, we obtain the existence result of smooth solutions to the Orlicz-Aleksandrov problem from the perspective of geometric flow. Furthermore, a special uniqueness result…