The Green function for p-Laplace operators

Sabina Angeloni, Pierpaolo Esposito · ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE · 2026

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 0 is the first eigenvalue of -∆p.

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