Calculus of Variations and Geometric Measure Theory

G. Palatucci - M. Piccinini

Mixed local and nonlocal eigenvalues

created by piccinini on 02 Aug 2025
modified on 25 Aug 2025

[BibTeX]

Published Paper

Inserted: 2 aug 2025
Last Updated: 25 aug 2025

Journal: Nonlinear Anal.
Volume: 262
Number: 113922
Year: 2026

Abstract:

We discuss some basic properties of the eigenfunctions of a class of mixed local and nonlocal operators whose prototype is \[ -\Delta_p u - (-\Delta_p)^s u = \lambda
{u}
^{p-2} u \] for any summability exponent $p\in (1,\infty)$ and any differentiability order $s\in (0,1)$.


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