8 citations · 9 across the 5 of their papers we have counts for
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Boundary value problems for Choquard equations
Chiara Bernardini, Annalisa Cesaroni
We prove existence of a positive radial solution to the Choquard equation with Neumann or Dirichlet boundary conditions…
Existence and compactness of conformal metrics on the plane with unbounded and sign-changing Gaussian curvature
Chiara Bernardini
We show that the prescribed Gaussian curvature equation in has solutions with prescribed total curvature equal to $Λ:=\int_{\mathbb{R}^2}(…
Mass concentration for Ergodic Choquard Mean-Field Games
Chiara Bernardini
We study concentration phenomena in the vanishing viscosity limit for second-order stationary Mean-Field Games systems defined in the whole space with Riesz-type agg…
Ergodic Mean-Field Games with aggregation of Choquard-type
Chiara Bernardini, Annalisa Cesaroni
We consider second-order ergodic Mean-Field Games systems in the whole space with coercive potential and aggregating nonlocal coupling, defined in terms of a Riesz i…
Existence and asymptotic behavior of non-normal conformal metrics on with sign-changing -curvature
Chiara Bernardini
We consider the following prescribed -curvature problem \begin{equation}\label{uno} \begin{cases} Δ^2 u=(1-|x|^p)e^{4u}, \quad\text{on}\,\,\mathbb{R}^4\\ Λ:=\int_{\mathbb{R}^4}(…