On the Existence of Solutions of the Dirichlet Problem for the p-Laplacian on Riemannian Manifolds

被引：0

作者：

Bakiev, S. M. ^{[1
]}

Kon'kov, A. A. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 117234, Russia

来源：

MATHEMATICAL NOTES | 2023年 / 114卷 / 5-6期

基金：

俄罗斯科学基金会;

关键词：

p-Laplacian; Dirichlet problem; Riemannian manifold; BOUNDARY-VALUE PROBLEM; DIMENSION; SPACES;

D O I：

10.1134/S0001434623110056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a criterion for the existence of solutions of the problem Delta(p)u=0 in M\partial derivative M, u|partial derivative M=h with a bounded Dirichlet integral, where M is an oriented complete Riemannian manifold with boundary and h is an element of W (1)(p,loc)(M), p>1.

引用

页码：679 / 686

页数：8

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