Tackling semi-supervised learning problems with graph-based methods has become a trend
in recent years since graphs can represent all kinds of data and provide a suitable …

In this article we characterize the $\mathrm {L}^\infty $ eigenvalue problem associated to the
Rayleigh quotient $\left.{\|\nabla u\| _ {\mathrm {L}^\infty}}\middle/{\| u\| _\infty}\right. $ and …

In this note, we provide a characterization for the set of extreme points of the Lipschitz unit
ball in a specific vectorial setting. While the analysis of the case of real-valued functions is …

We address the problem of computing the graph $ p $-Laplacian eigenpairs for $ p\in
(2,\infty) $. We propose a reformulation of the graph $ p $-Laplacian eigenvalue problem in …

Neural networks have revolutionized the field of data science, yielding remarkable solutions
in a data-driven manner. For instance, in the field of mathematical imaging, they have …

In this work, we present an alternative formulation of the higher eigenvalue problem
associated to the infinity Laplacian, which opens the door for numerical approximation of …

This chapter describes how gradient flows and nonlinear power methods in Banach spaces
can be used to solve nonlinear eigenvector-dependent eigenvalue problems, and how …

In this thesis we discuss the graph p-Laplacian eigenvalue problem. In particular, after
reviewing the state of the art, we present new results on the nodal domain count of the p …

Inverse problems serve as a general playground for analyzing many real-world applications.
Typical examples are MRI, X-Ray CT, and image recovery. An inverse problem involves …

Numerical Modeling of Water Distribution Systems Using the Graph p-Laplacian: Variational
and Duality Methods with Applications Page 1 Universit`a degli Studi di Padova Dipartimento …