5 papers
Admissible surfaces in progressive addition lenses
Sergio Barbero, María del Mar González
Progressive addition lenses contain a surface of spatially-varying curvature, which provides variable optical power for different viewing areas over the lens. We derive complete co…
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…