216 citations · 380 across the 52 of their papers we have counts for
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Least action nodal solutions for the quadratic Choquard equation
Marco Ghimenti, Vitaly Moroz, Jean Van Schaftingen
We prove the existence of a minimal action nodal solution for the quadratic Choquard equation where is…
On Yamabe type problems on Riemannian manifolds with boundary
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
Let be a dimensional compact Riemannian manifold with boundary. We consider the Yamabe type problem \begin{equation} \left\{ \begin{array}{ll} -Δ_{g}u+au=0 & \text{ on…
Nodal solutions for the Choquard equation
Marco Ghimenti, Jean Van Schaftingen
We consider the general Choquard equations where is a Riesz potential. We construct minimal action odd solutions for $p \in (\fr…
A multiplicity result for double singularly perturbed elliptic systems
M. Ghimenti, A. M. Micheletti
We show that the number of low energy solutions of a double singularly perturbed Schroedinger Maxwell system type on a smooth 3 dimensional manifold (M,g) depends on the topologica…
Existence and stability results on a class of Non Linear Schroedinger Equations in bounded domains with Dirichlet boundary conditions
Marco Ghimenti, Dimitrios Kandilakis, Manolis Magiropoulos
Existence of solution and stability results on a class of Non Linear Schroedinger type equations with a bounded nonlinearity are obtained, for a bounded domain and with Dirichlet b…