Ruofei Yao

activity

20242026

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3 papers · 1 filter

math.AP2026

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 $Ω$ , let $σ_{1} (Ω)$ denote its first nonzero Steklov eigenvalue. Let $Ω_{N}$ be the regular $N$ -gon normalized to have perimeter $2 π$ . We prove th…

math.AP2026

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 $u$ to a semilinear elliptic equation under mixed Dirichlet-Neumann boundary conditions in symmetric dom…

nlin.SI2026

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…