Boundary singularities of N -harmonic functions

2006/09/30 by Rouba Borghol, Borghol, Rouba, Veron, Laurent · 1 citation
Mathematics · #35J60 #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Analytic and geometric function theory #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.math/0610016

openalex publication_date 2006/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct N-harmonic functions in a domain with one isolated singularity on the boundary of the domain. By using solutions of the spherical p-harmonic spectral problem, we give an inductive method to produce a large variety of separable p-harmonic functions.

Citations

• Boundary regularity for solutions of degenerate elliptic equations
• Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities

Cited by

• Estimates for viscosity solutions of fully nonlinear equations near smooth boundaries

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