1 citations · 1 across the 5 of their papers we have counts for
5 papers
Existence of curves with constant geodesic curvature in a Riemannian 2-sphere
Da Rong Cheng, Xin Zhou
We prove the existence of immersed closed curves of constant geodesic curvature in an arbitrary Riemannian 2-sphere for almost every prescribed curvature. To achieve this, we devel…
Scale pressure for amenable group actions
Dandan Cheng, Qian Hao, Zhiming Li
In this paper we introduce the notion of scale pressure and measure theoretic scale pressure for amenable group actions. A variational principle for amenable group actions is prese…
Stable solutions to the abelian Yang--Mills--Higgs equations on and
Da Rong Cheng
We show under natural assumptions that stable solutions to the abelian Yang--Mills--Higgs equations on Hermitian line bundles over the round -sphere actually satisfy the vortex…
Asymptotics for the Ginzburg-Landau equation on manifolds with boundary under homogeneous Neumann condition
Da Rong Cheng
On a compact manifold () with boundary, we study the asymptotic behavior as tends to zero of solutions to the equation $Δu_ε + ε^{-2}(1…
A compactness result for energy-minimizing harmonic maps with rough domain metric
Da Rong Cheng
In 1996, Shi generalized the epsilon-regularity theorem of Schoen and Uhlenbeck to energy-minimizing harmonic maps from a domain equipped with a bounded measurable Riemannian metri…