40 citations · 74 across the 24 of their papers we have counts for
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math.AP2019
Normalized concentrating solutions to nonlinear elliptic problems
Benedetta Pellacci, Angela Pistoia, Giusi Vaira +1
We prove the existence of solutions of the elliptic problem \[ \begin{cases} -Δv+(V(x)+λ) v =v^{p}\ &\text{ in } \ v>0,\qquad \int_Ωv^2\…
math.AP2019
Time-fractional equations with reaction terms: fundamental solutions and asymptotics
Serena Dipierro, Benedetta Pellacci, Enrico Valdinoci +1
We analyze the fundamental solution of a time-fractional problem, establishing existence and uniqueness in an appropriate functional space. We also focus on the one-dimensional spa…
math.AP2019
Quantitative analysis of a singularly perturbed shape optimization problem in a polygon
Dario Mazzoleni, Benedetta Pellacci, Gianmaria Verzini
We carry on our study of the connection between two shape optimization problems with spectral cost. On the one hand, we consider the optimal design problem for the survival thresho…