5 citations · 6 across the 5 of their papers we have counts for
11 papers · 1 filter
Lamellar phase solutions for diblock copolymers with nonlocal diffusions
Hardy Chan, Masomeh Jamshid Nejad, Juncheng Wei
For a diblock copolymer with total chain length and mass ratio , we consider the problem of minimizing the doubly nonlocal free energy $$ \mathcal{E}_{\varepsilon…
Singular solutions for fractional parabolic boundary value problems
Hardy Chan, David Gómez-Castro, Juan Luis Vázquez
The standard problem for the classical heat equation posed in a bounded domain of is the initial and boundary value problem. If the Laplace operator is replaced b…
Uniqueness of entire ground states for the fractional plasma problem
Hardy Chan, María del Mar González, Yanghong Huang +2
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground states, to some semilinear fractional elliptic equations. In particular, we treat th…
An analytic construction of singular solutions related to a critical Yamabe problem
Hardy Chan, Azahara DelaTorre
We answer affirmatively a question of Aviles posed in 1983, concerning the construction of singular solutions of semilinear equations without using phase-plane analysis. Fully expl…
ODE-methods in non-local equations
Weiwei Ao, Hardy Chan, Azahara DelaTorre +3
Non-local equations cannot be treated using classical ODE theorems. Nevertheless, several new methods have been introduced in the non-local gluing scheme of our previous article "O…
Convergence of the fractional Yamabe flow for a class of initial data
Hardy Chan, Yannick Sire, Liming Sun
This work is a follow-up on the work of the second author with P. Daskalopoulos and J.L. Vázquez. In this latter work, we introduced the Yamabe flow associated to the so-called fra…