14 citations · 21 across the 5 of their papers we have counts for
4 papers · 1 filter
Optimal configuration and symmetry breaking phenomena in the composite membrane problem with fractional Laplacian
María del Mar González, Ki-Ahm Lee, Taehun Lee
We consider the following eigenvalue optimization in the composite membrane problem with fractional Laplacian: given a bounded domain , and ,…
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…
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…
Isolated singularities for a semilinear equation for the fractional Laplacian arising in conformal geometry
Azahara DelaTorre, María del Mar González
We introduce the study of isolated singularities for a semilinear equation involving the fractional Laplacian. In conformal geometry, it is equivalent to the study of singular metr…