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math.AP2024
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…
math.AP2024★ 1 cited
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…