Mixed local and nonlocal eigenvalues
Giampiero Palatucci, Mirco Piccinini · Nonlinear Analysis · 2025
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 ) .