5 papers
On singularities of Ericksen-Leslie system in dimension three
Tao Huang, Peiyong Wang
In this paper, we consider the initial and boundary value problem of Ericksen-Leslie system modeling nematic liquid crystal flows in dimension three. Two examples of singularity at…
The Gelfand problem for the Infinity Laplacian
Fernando Charro, Byungjae Son, Peiyong Wang
We study the asymptotic behavior as of the Gelfand problem \[ -Δ_{p} u=λ\,e^{u}\ \textrm{in}\ Ω\subset\mathbb{R}^n,\quad u=0 \ \textrm{on}\ \partialΩ. \] Under an appr…
Totalitarian random Tug-of-War games in graphs
Marcos Antón, Fernando Charro, Peiyong Wang
In this work we discuss a random Tug-of-War game in graphs where one of the players has the power to decide at each turn whether to play a round of classical random Tug-of-War, or…
The One-Phase Bifurcation For The p-Laplacian
Alaa Haj Ali, Peiyong Wang
A bifurcation about the uniqueness of a solution of a singularly perturbed free boundary problem of phase transition associated with the p-Laplacian, subject to given boundary cond…
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…