4 papers
Blow-up solutions for mean field equations with non-quantized singularities on Riemann surfaces with boundary
Mohameden Ahmedou, Zhengni Hu, Miaomiao Zhu
We study mean field equations with singular sources on a compact Riemann surface with boundary , subject to homogeneous Neumann boundary conditions: \[ -Δ_g v = ρ\left( \fra…
Blow-up Solutions for General Toda Systems on Riemann Surfaces
Zhengni Hu, Miaomiao Zhu
In this paper, we study general Toda systems with homogeneous Neumann boundary conditions on Riemann surfaces. Assuming the surface satisfies the ``-symmetric'' condition, we co…
Parallel mean curvature surfaces with constant contact angle along free boundaries
Rui Gao, Miaomiao Zhu
We classify branched immersed disks in space forms with non-zero parallel mean curvature vector and non-orthogonal constant contact angle along the boundary in 4-dimensional space…
Min-max theory and existence of H-spheres with arbitrary codimensions
Rui Gao, Miaomiao Zhu
We demonstrate the existence of branched immersed 2-spheres with prescribed mean curvature, with controlled Morse index and with arbitrary codimensions in closed Riemannian manifol…