The spherical p-harmonic eigenvalue problem in non-smooth domains

被引：4

作者：

Gkikas, Konstantinos T. ^{[1
]}

Veron, Laurent ^{[2
]}

机构：

[1] Univ Chile, Ctr Modelamiento Matemat, CNRS, UMI 2807, Casilla 170,Correo 3, Santiago, Chile

[2] Univ Tours, Fac Sci, CNRS, Lab Math & Phys Theor,UMR 7350, F-37200 Tours, France

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2018年 / 274卷 / 04期

关键词：

p-Laplacian operator; Polar sets; Boundary Harnack inequality; p-Martin boundary; SINGULAR SOLUTIONS; LIPSCHITZ-DOMAINS; BOUNDARY-BEHAVIOR; EQUATIONS;

D O I：

10.1016/j.jfa.2017.07.012

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of p-harmonic functions under the form u(r, sigma) = r(-beta)omega(sigma) in any cone C-S generated by a spherical domain S and vanishing on partial derivative C-S. We prove the uniqueness of the exponent beta and of the normalized function omega under a Lipschitz condition on S. (C) 2017 Published by Elsevier Inc.

引用

页码：1155 / 1176

页数：22

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