1 citations · 1 across the 3 of their papers we have counts for
4 papers
A variational problem associated to a hyperbolic Caffarelli--Kohn--Nirenberg inequality
Hardy Chan, Luiz Fernando de Oliveira Faria, Shaya Shakerian
We prove a Caffarelli--Kohn--Nirenberg inequality in the hyperbolic space. For a semilinear elliptic equation involving the associated weighted Laplace--Beltrami operator, we estab…
The Multiplier Problem of the Calculus of Variations for Scalar Ordinary Differential Equations
Hardy Chan
In the inverse problem of the calculus of variations one is asked to find a Lagrangian and a multiplier so that a given differential equation, after multiplying with the multiplier…
Traveling wave solutions for bistable fractional Allen-Cahn equations with a pyramidal front
Hardy Chan, Juncheng Wei
Using the method of sub-super-solution, we construct a solution of on of pyramidal shape. Here is the fractional Laplacian of sub-critical ord…
Boundary concentrations on segments
Weiwei Ao, Hardy Chan, Juncheng Wei
We consider the following singularly perturbed Neumann problem \begin{eqnarray*} \ve^2 Δu -u +u^p = 0 \, \quad u>0 \quad {\mbox {in}} \quad Ω, \quad {\partial u \over \partial ν}=0…