216 citations · 380 across the 52 of their papers we have counts for
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On the simplicity of the sloshing eigenvalues
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
This paper investigates sloshing problems defined by in , with mixed boundary conditions: on , and either or on . Here, …
Simplicity of eigenvalues for elliptic problems with mixed Steklov-Robin boundary condition
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
This paper investigates the spectral properties of two classes of elliptic problems characterized by mixed Steklov-Robin boundary conditions. Our main objective is to prove that, f…
Bubble solution for the critical Hartree equation in pierced domain
Marco Ghimenti, Xiaomeng Huang, Angela Pistoia
In this article, we establish the existence of solutions to the following critical Hartree equation \begin{align*} \begin{cases} -Δu=\left(\int_{Ω_\varepsilon}\frac{u^{2_μ^*}}{|x-y…
A note on the persistence of multiplicity of eigenvalues of fractional Laplacian under perturbations
Marco Ghimenti, Anna Maria Micheletti, Angela Pistoia
We consider the eigenvalues problem for the the fractional Laplacian in a bounded domain Omega with Dirichlet boundary condition. A recent result by Fall, Ghimenti, Micheletti and…
Generic properties of eigenvalues of the fractional Laplacian
Mouhamed Moustapha Fall, Marco Ghimenti, Anna Maria Micheletti +1
We consider the Dirichlet eigenvalues of the fractional Laplacian , with , related to a smooth bounded domain . We prove that there exists an arbitrarily sma…
Multiple solutions for a fractional Choquard problem with slightly subcritical exponents on bounded domains
Marco G. Ghimenti, Min Liu, Zhongwei Tang
This paper is devoted to study a fractional Choquard problem with slightly subcritical exponents on bounded domains. When the exponent of the convolution type nonlinearity tends to…