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math.AP2021
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…
math.AP2021★ 1 cited
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…
math.AP2021
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…