Fractional p-eigenvalues
Giovanni Franzina, Giampiero Palatucci
TL;DR
This paper explores fundamental properties of eigenfunctions associated with nonlocal operators, specifically focusing on the fractional p-Laplacian, to enhance understanding of their mathematical behavior.
Contribution
It provides new insights into the basic properties of eigenfunctions for a class of nonlocal operators, particularly the fractional p-Laplacian.
Findings
Analysis of eigenfunction regularity
Characterization of eigenvalues
Insights into nonlocal operator behavior
Abstract
We discuss some basic properties of the eigenfunctions of a class of nonlocal operators whose model is the fractional p-Laplacian.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering · Spectral Theory in Mathematical Physics