5 papers
Global Strict Monotonicity and Asymptotics of the First Steklov Eigenvalue for Regular Polygons
Zhuo Cheng, Changfeng Gui, Yeyao Hu +2
For a bounded Lipschitz planar domain , let denote its first nonzero Steklov eigenvalue. Let be the regular -gon normalized to have perimeter . We prove th…
Symmetry properties for positive solutions of mixed boundary value problems in a sub-spherical sector
Ruofei Yao
In this paper, we investigate the symmetry properties of positive solutions to a semilinear elliptic equation under mixed Dirichlet-Neumann boundary conditions in symmetric dom…
Painleve solitons of AKNS system and irrational algebraic solitons of NLS equations
Man Jia, Xia-Zhi Hao, Ruo-Xia Yao +2
A novel symmetry decomposition approach is introduced to derive the so-called ``Painlevé solitons'' of the Ablowitz-Kaup-Newell-Segur (AKNS) system. These Painlevé solitons propaga…
Monotonicity properties of the Robin torsion function in a class of symmetric planar domains
Qinfeng Li, Juncheng Wei, Ruofei Yao
We prove the monotonicity property of the Robin torsion function in a smooth planar domain with a line of symmetry, provided that the Robin coefficient is greater than or e…
On the location of the maximal gradient of the torsion function over some non-symmetric planar domains
Qinfeng Li, Shuangquan Xie, Hang Yang +1
We investigate the location of the maximal gradient of the torsion function on certain non-symmetric planar domains. First, by establishing uniform estimates for convex narrow doma…