25 citations · 69 across the 37 of their papers we have counts for
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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★ 1 cited
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…
math.AP2021★ 1 cited
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…