We discuss some basic properties of eigenfunctions for a class of mixed local and nonlocal operators whose prototype is −𝛥𝑝𝑢− (−𝛥𝑝)𝑠𝑢= 𝜆|𝑢|𝑝−2 𝑢, for any summability exponent 𝑝∈ (1,∞) and any differentiability order 𝑠∈ (0,1).
Mixed local and nonlocal eigenvalues / Palatucci, Giampiero; Piccinini, Mirco. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 262:(2026). [10.1016/j.na.2025.113922]
Mixed local and nonlocal eigenvalues
Palatucci, Giampiero
;Piccinini, Mirco
2026-01-01
Abstract
We discuss some basic properties of eigenfunctions for a class of mixed local and nonlocal operators whose prototype is −𝛥𝑝𝑢− (−𝛥𝑝)𝑠𝑢= 𝜆|𝑢|𝑝−2 𝑢, for any summability exponent 𝑝∈ (1,∞) and any differentiability order 𝑠∈ (0,1).File in questo prodotto:
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