The Green function for p-Laplace operators

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE 2026 Open access

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Authors: Sabina Angeloni, Pierpaolo Esposito
DOI: 10.2422/2036-2145.202501_024
Cited by: 0

Abstract

On a bounded domain Ω ⊂ R N , N ≥ 2, we consider existence, uniqueness and "regularity" issues for the Green function G λ of the quasi-linear operator u → -∆pu -λ|u| p-2 u with 1 < p ≤ N , homogeneous Dirichlet boundary condition and λ < λ1, where λ1 > 0 is the first eigenvalue of -∆p.

Fields of Study & Subjects

Advanced Mathematical Modeling in Engineering Differential Equations and Boundary Problems Nonlinear Partial Differential Equations

Publication details

Journal / source
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
Publisher
Scuola Normale Superiore - Edizioni della Normale
Pages
23–23
Publication date
7 April 2026
Language
EN