Work

Mixed local and nonlocal eigenvalues

Year: 2025

Type: article

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 ) .

Source: Nonlinear Analysis

DOI: 10.1016/j.na.2025.113922

Authors: Giampiero Palatucci, Mirco Piccinini

Institutions: University of Parma, University of Pisa

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,690

Funders: Università degli Studi di Parma, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni