Existence of Solutions to the Second Boundary-Value Problem for the p-Laplacian on Riemannian Manifolds

被引：0

作者：

Brovkin, V. V. ^{[1
]}

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

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

MATHEMATICAL NOTES | 2021年 / 109卷 / 1-2期

基金：

俄罗斯科学基金会;

关键词：

p-Laplacian; Riemannian manifold; Dirichlet integral; SOLVABILITY; DIMENSION;

D O I：

10.1134/S0001434621010211

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain necessary and sufficient conditions for the existence of solutions to the boundary-value problem Delta(p)u = f on M, vertical bar del u vertical bar(p-2) partial derivative u/partial derivative v vertical bar(partial derivative m) = h, where p > 1 is a real number, M is a connected oriented complete Riemannian manifold with boundary, and nu is the outer normal vector to partial derivative M.

引用

页码：171 / 183

页数：13

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