Mixed local and nonlocal eigenvalues

We discuss some basic properties of eigenfunctions for a class of mixed local and nonlocal operators whose prototype is − Δ p u − ( − Δ p ) s u = λ | u | p − 2 u , for any summability exponent p ∈ ( 1 , ∞ ) and any differentiability order s ∈ ( 0 , 1 ) .

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Publication Details

Journal
Nonlinear Analysis
Published
2025-08-25
DOI
https://doi.org/10.1016/j.na.2025.113922
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

Mixed local and nonlocal eigenvalues

Giampiero Palatucci, Mirco Piccinini
Nonlinear Analysis
Advanced Mathematical Modeling in Engineering
article

Mixed local and nonlocal eigenvalues

Giampiero Palatucci, Mirco Piccinini
article en

Abstract

We discuss some basic properties of eigenfunctions for a class of mixed local and nonlocal operators whose prototype is − Δ p u − ( − Δ p ) s u = λ | u | p − 2 u , for any summability exponent p ∈ ( 1 , ∞ ) and any differentiability order s ∈ ( 0 , 1 ) .

Nonlinear AnalysisVol. 262
University of Pisa (IT), University of Parma (IT)
Climate action
Openalex Percentile: Top 76%
Advanced Mathematical Modeling in Engineering
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Mixed local and nonlocal eigenvalues — Giampiero Palatucci, Mirco Piccinini · Nonlinear Analysis (2025) | TGRS Research Map | TGRS