9 citations · 26 across the 40 of their papers we have counts for
48 papers
Dissolution and nucleation of jump discontinuities for one-dimensional periodic peridynamic waves
Giuseppe Maria Coclite, Serena Dipierro, Francesco Maddalena +2
We analyze solutions to a one-dimensional periodic linear model for peridynamic waves, focusing on the setting where the natural energy space allows for spatial discontinuities. Ex…
Asymptotics of nonlocal nonlinear Robin energies
Serena Dipierro, Giuseppe Spadaro, Enrico Valdinoci
We study the free minimization problem for a nonlinear, nonlocal functional associated with Robin-type nonlocal exterior conditions depending on a positive parameter . We prove…
A fractional critical problem in the halfspace with Neumann conditions
Azahara DelaTorre, Azahara DelaTorre Pedraza, Serena Dipierro +2
Given and , we construct nontrivial solutions of the problem \begin{equation*} \begin{cases} (-Δ)^s u=u^{2^*_s-1} &{\mbox{ in }}\mathbb{R}^n_+,\\ {\mathcal{N}}_s…
A free boundary analysis of tumor invasion driven by angiogenesis
Serena Dipierro, Edoardo Proietti Lippi, Caterina Sportelli +1
We discuss a free boundary model for tumor invasion that describes a cloud of cells that diffuse and, at the same time, are drifted along the vector field of the chemotactic direct…
A free boundary problem driven by boundary distance in the coincidence set
Amal Alphonse, Marcelo Bongarti, Enrico Valdinoci
We study a free boundary problem of minimising a functional containing a non-local term rewarding depth into the zero phase: for on a bounded, open set $Ω\subset\mat…
A logistic equation with non-local operators of order near zero
Luigi Appolloni, Serena Dipierro, Enrico Valdinoci
In this paper we study an equation driven by a non-local operator of order "near zero" with mixed Dirichlet-Neumann boundary conditions, modelling a biological system consisting of…