Seminario del Departamento de Matemática e Informática Aplicadas
a las Ingenierías Civil y Naval
Symmetry and monotonicity of singular solutions to nonlocal problems in bounded and unbounded domains
Luigi Montoro (U Calabria)
Resumen. We
consider weak positive solutions to (−∆)^s u = f (x, u) in
Ω \ Γ under zero Dirichlet boundary
condition. The domain Ω is bounded or is
the whole space and the solution has a singularity on the
singular set Γ. Under suitable assumptions on f we prove
symmetry and monotonicity properties of the
solutions when the singular set Γ has zero
s-capacity.
Fecha: 3 de mayo de 2017.
Hora: 12:30
Lugar: Aula 42 (Jose Echegaray) de la fundacion Agustin de Betancourt de la ETSI Caminos (primera planta)