9 citations · 16 across the 4 of their papers we have counts for
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Maximum principles and spectral analysis for the superposition of operators of fractional order
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1
We consider a "superposition operator" obtained through the continuous superposition of operators of mixed fractional order, modulated by a signed Borel finite measure defined over…
Logistic diffusion equations governed by the superposition of operators of mixed fractional order
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1
We discuss the existence of stationary solutions for logistic diffusion equations of Fisher-Kolmogoroff-Petrovski-Piskunov type driven by the superposition of fractional operators…
A general theory for the -superposition of nonlinear fractional operators
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1
We consider the continuous superposition of operators of the form \[ \iint_{[0, 1]\times (1, N)} (-Δ)_p^s \,u\,dμ(s,p), \] where denotes a signed measure over the set $[0, 1]\t…
Some nonlinear problems for the superposition of fractional operators with Neumann boundary conditions
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1
We discuss the existence theory of a nonlinear problem of nonlocal type subject to Neumann boundary conditions. Differently from the existing literature, the elliptic operator unde…