26 citations · 68 across the 21 of their papers we have counts for
6 papers · 1 filter
Symmetry and Approximate Symmetry of a Nonlinear Elliptic Problem over a Ring
Alaa Haj Ali, Dongsheng Li, Peiyong Wang
A singularly perturbed free boundary problem arising from a real problem associated with a Radiographic Integrated Test Stand concerns a solution of the equation in a d…
A pointwise approach to rigidity of almost graphical self-shrinking solutions of mean curvature flows
Dongsheng Li, Yingfeng Xu, Yu Yuan
We prove rigidity of any properly immersed noncompact Lagrangian shrinker with single valued Lagrangian angle for Lagrangian mean curvature flows. Our pointwise approach also provi…
A Bernstein problem for special Lagrangian equations in exterior domains
Dongsheng Li, Zhisu Li, Yu Yuan
We establish quadratic asymptotics for solutions to special Lagrangian equations with supercritical phases in exterior domains. The method is based on an exterior Liouville type re…
On the exterior Dirichlet problem for Hessian quotient equations
Dongsheng Li, Zhisu Li
In this paper, we establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for Hessian quotient equations with prescribed asymptotic behavior…
Global estimates for singular fully nonlinear elliptic equations with right hand side terms
Dongsheng Li, Zhisu Li
We establish in this paper \emph{a priori} global estimates for singular fully nonlinear elliptic equations with right hand side terms. The method is to slide parab…
Global estimates for a type of singular fully nonlinear elliptic equations
Dongsheng Li, Zhisu Li
We obtain global estimates for a type of singular fully nonlinear elliptic equations where the right hand side term belongs to . The main idea of the proof is t…