22 citations · 95 across the 25 of their papers we have counts for
6 papers · 1 filter
On the asymptotic behavior of -fractional eigenvalues
Ariel Salort, Eugenio Vecchi
In this note we obtain an asymptotic estimate for growth behavior of variational eigenvalues of the fractional eigenvalue problem on a smooth bounded domain with Dirichlet boun…
A Hong-Krahn-Szegö inequality for mixed local and nonlocal operators
Stefano Biagi, Serena Dipierro, Enrico Valdinoci +1
Given a bounded open set , we consider the eigenvalue problem of a nonlinear mixed local/nonlocal operator with vanishing conditions in the complement of…
On the mixed local-nonlocal Hénon equation
Ariel Salort, Eugenio Vecchi
In this paper we consider a Hénon-type equation driven by a nonlinear operator obtained as a combination of a local and nonlocal term. We prove existence and non-existence akin to…
-convergence of elliptic and parabolic operators depending on vector fields
Alberto Maione, Fabio Paronetto, Eugenio Vecchi
We consider sequences of elliptic and parabolic operators in divergence form and depending on a family of vector fields. We show compactness results with respect to G-convergence,…
A Faber-Krahn inequality for mixed local and nonlocal operators
Stefano Biagi, Serena Dipierro, Enrico Valdinoci +1
We consider the first Dirichlet eigenvalue problem for a mixed local/nonlocal elliptic operator and we establish a quantitative Faber-Krahn inequality. More precisely, we show that…
A Brezis-Oswald approach for mixed local and nonlocal operators
Stefano Biagi, Dimitri Mugnai, Eugenio Vecchi
In this paper we provide necessary and sufficient conditions for the existence of a unique positive weak solution for some sublinear Dirichlet problems driven by the sum of a quasi…