4 citations · 5 across the 4 of their papers we have counts for
7 papers
The Neumann problem for the fractional Laplacian: regularity up to the boundary
Alessandro Audrito, Juan-Carlos Felipe-Navarro, Xavier Ros-Oton
We study the regularity up to the boundary of solutions to the Neumann problem for the fractional Laplacian. We prove that if is a weak solution of in , $\mathc…
A minimization procedure to the existence of segregated solutions to parabolic reaction-diffusion systems
Alessandro Audrito, Enrico Serra, Paolo Tilli
We study the existence of segregated solutions to a class of reaction-diffusion systems with strong interactions, arising in many physical applications. These special solutions are…
The Dirichlet problem for nonlocal elliptic operators with exterior data
Alessandro Audrito, Xavier Ros-Oton
In this note we study the boundary regularity of solutions to nonlocal Dirichlet problems of the form in , in , in non-smooth domains . Wh…
Travelling wave behaviour arising in nonlinear diffusion problems posed in tubular domains
Alessandro Audrito, Juan Luis Vázquez
For a fixed bounded domain we investigate the asymptotic behaviour for large times of solutions to the -Laplacian diffusion equation posed in a tubular…
On the nodal set of solutions to a class of nonlocal parabolic equations
Alessandro Audrito, Susanna Terracini
We investigate the local properties, including the nodal set and the nodal properties of solutions to the following parabolic problem of Muckenhoupt-Neumann type: \begin{equation*}…
The Fisher-KPP problem with doubly nonlinear "fast" diffusion
Alessandro Audrito, Juan Luis Vazquez
The famous Fisher-KPP reaction diffusion model combines linear diffusion with the typical Fisher-KPP reaction term, and appears in a number of relevant applications. It is remarkab…