Boundary Singularities ofN-Harmonic Functions

Boundary singularities of N -harmonic functions

Solution of Harmonic Problems with Weak Singularities Using Equilibrated Basis Functions in Finite Element Method

In this paper, Equilibrated Singular Basis Functions (EqSBFs) are implemented in the framework of the Finite Element Method (FEM), which can approximately satisfy the harmonic PDE in homogeneous and heterogeneous media. EqSBFs are able to automatically reproduce the terms consistent with the singularity order in the vicinity of the singular point. The newly made bases are used as the compliment...

0 Se p 20 06 Boundary singularities of N - harmonic functions ∗

for any φ ∈ C 0 (Ω). Such functions are locally C 1,α for some α ∈ (0, 1). In the case p = N , the function u is called N -harmonic. The N -harmonic functions play an important role as a natural extension of classical harmonic functions. They also appear in the theory of bounded distortion mappings [8]. One of the main properties of the class of N -harmonic functions is its invariance by confor...

Boundary singularities of solutions of N-harmonic equations with absorption

Singularities of Harmonic Maps

This article surveys research on the existence, structure, behavior, and asymptotics of singularities of harmonic maps.