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.
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页码：171 / 183
页数：13
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