5 citations · 5 across the 5 of their papers we have counts for
14 papers · 1 filter
Positive and nodal solutions for the Minkowski mean curvature equation: multiplicity and asymptotics
Alberto Boscaggin, Francesca Colasuonno, Ricardo Ziegele
We consider the Dirichlet problem for the mean curvature operator in Minkowski space, \[ -\operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right) = λu + μh(x,u) \quad…
An Orlicz space approach to exponential elliptic problems in higher dimensions
Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1
We consider semilinear elliptic problems of the form \[ -Δu + λu = f(x,u), \quad u\in H^1_0(A), \] where , , is either a bounded or unbounded annulus,…
Continuous dependence for p-Laplace equations with varying operators
Francesca Colasuonno, Benedetta Noris, Elisa Sovrano
For the following Neumann problem in a ball $$\begin{cases} -Δ_p u+u^{p-1}=u^{q-1}\quad&\text{in }B,\\ u>0,\,u\text{ radial}\quad&\text{in }B,\\ \frac{\partial u}{\partial ν}=0\qua…
Stability vs. instability of singular steady states in the parabolic-elliptic Keller-Segel system on
Francesca Colasuonno, Michael Winkler
The Cauchy problem in is considered for \begin{eqnarray*} \left\{ \begin{array}{l} u_t = Δu - \nabla \cdot (u\nabla v),\\ 0 = Δv + u. \end{array} \right. \end{eqnarra…
Multiplicity and symmetry breaking for supercritical elliptic problems in exterior domains
Alberto Boscaggin, Francesca Colasuonno, Benedetta Noris +1
We deal with the following semilinear equation in exterior domains \[-Δu + u = a(x)|u|^{p-2}u,\qquad u\in H^1_0({A_R}), \] where , $N\ge 3…
Critical growth double phase problems: the local case and a Kirchhoff type case
Francesca Colasuonno, Kanishka Perera
We study Brezis-Nirenberg type problems, governed by the double phase operator , that i…