Global second order Sobolev-regularity of p-harmonic functions

2022/04/28 by Akseli Haarala, Haarala, Akseli, Saara Sarsa +1
Engineering · #35J92 #Analysis of PDEs (math.AP) #FOS: Mathematics #Fatigue and fracture mechanics

paper · pdf · doi:10.48550/arxiv.2204.13550

openalex publication_date 2022/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a global version of the classical result that p-harmonic functions belong to W^2,2_loc for 1

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