5 papers · 1 filter
Edge asymptotics for weighted Robin equations on cylinders with applications to spectral fractional Laplacians
Alessandra De Luca, Veronica Felli, Stefano Vita
For a class of weighted degenerate or singular problems on a cylinder, Almgren-type monotonicity methods are employed to derive asymptotic estimates of solutions near the edge betw…
On the subcritical Lane-Emden equation on Riemannian models with polynomial volume growth
Alessandra De Luca, Matteo Muratori, Nicola Soave
We focus on the problems of existence and non-existence of positive solutions for the Sobolev-subcritical Lane-Emden equation on certain Riemannian manifolds (mainly models) with a…
Stability properties of solutions to convection-reaction equations with nonlinear diffusion
Alessandro Alla, Alessandra De Luca, Raffaele Folino +1
In this paper we study a convection-reaction-diffusion equation of the form \begin{equation*} u_t=\varepsilon(h(u)u_x)_x-f(u)_x+f'(u), \quad t>0, \end{equation*} with a nonlinear d…
A note on geometric assumptions for unique continuation from the edge of a crack
Alessandra De Luca
The present paper aims at representing an improvement of the result in [2], where a strong unique continuation property and a description of the local behaviour around the edge of…
Unique continuation from conical boundary points for fractional equations
Alessandra De Luca, Veronica Felli, Stefano Vita
We provide fine asymptotics of solutions of fractional elliptic equations at boundary points where the domain is locally conical; that is, corner type singularities appear. Our met…