26 citations · 72 across the 17 of their papers we have counts for
19 papers
Nonlocal approximation of minimal surfaces: optimal estimates from stability
Hardy Chan, Serena Dipierro, Joaquim Serra +1
Minimal surfaces in closed 3-manifolds are classically constructed via the Almgren-Pitts approach. The Allen-Cahn approximation has proved to be a powerful alternative, and Chodosh…
Singular solutions for space-time fractional equations in a bounded domain
Hardy Chan, Juan Luis Vázquez, David Gómez-Castro
This paper is devoted to describing a linear diffusion problem involving fractional-in-time derivatives and self-adjoint integro-differential space operators posed in bounded domai…
Boundary regularity of an isotropically censored nonlocal operator
Hardy Chan
In a bounded domain, we consider a variable range nonlocal operator, which is maximally isotropic in the sense that its radius of interaction equals the distance to the boundary. W…
From fractional Lane-Emden-Serrin equation -- existence, multiplicity and local behaviors via classical ODE -- to fractional Yamabe metrics with singularity of "maximal" dimension
Hardy Chan, Azahara DelaTorre
Point singularities of solutions to the classical Lane-Emden-Serrin equation have a polyhomogeneous asymptotic expansion whose logarithmic corrections are determined by a first ord…
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…