3 papers
math.AP2026
Existence and uniqueness of nonlocal nonlinear conservation laws via fixed-point methods
Xiaoqian Gong, Alexander Keimer, Lorenzo Liverani +1
We investigate the well-posedness of scalar conservation laws whose flux depends on the solution both pointwise and nonlocally through integral averages. Our analysis is based on a…
math.AP2026
On the splitting of Neumann eigenvalues in perforated domains
Veronica Felli, Lorenzo Liverani, Roberto Ognibene
We address the problem of splitting of eigenvalues of the Neumann Laplacian under singular domain perturbations. We consider a domain perturbed by the excision of a small spherical…
math.AP2025
Quantitative spectral stability for the Neumann Laplacian in domains with small holes
Veronica Felli, Lorenzo Liverani, Roberto Ognibene
The aim of the present paper is to investigate the behavior of the spectrum of the Neumann Laplacian in domains with little holes excised from the interior. More precisely, we cons…