Existence and uniqueness of variational solution to the Neumann problem for the pth sub-Laplacian associated to a system of Hormander vector fields

被引：0

作者：

Nhieu, Duy-Minh ^{[1
]}

机构：

[1] Natl Cent Univ, Dept Math, Taoyuan 32001, Taiwan

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2018年 / 25卷 / 05期

关键词：

Existence; Uniqueness; Variational solutions; Nonlinear Neumann problem; Hormander vector fields; QUASI-CONFORMAL MAPPINGS; NILPOTENT LIE-GROUPS; DIRICHLET PROBLEM; HARMONIC-FUNCTIONS; BOUNDARY-BEHAVIOR; KOHN-LAPLACIAN; REGULARITY; PRINCIPLE; DOMAINS;

D O I：

10.1007/s00030-018-0529-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence and uniqueness of variational solution to the nonlinear Neumann boundary problem for the pth-sub-Laplacian associated to a system of Hormander vector fields.

引用

页数：14

共 4 条

[1] Existence and uniqueness of variational solution to the Neumann problem for the pth sub-Laplacian associated to a system of Hörmander vector fields
Duy-Minh Nhieu
Nonlinear Differential Equations and Applications NoDEA, 2018, 25
[2] EXISTENCE AND UNIQUENESS OF WEAK SOLUTION FOR NONLINEAR WEIGHTED (p,q)-LAPLACIAN SYSTEM WITH APPLICATION ON AN OPTIMAL CONTROL PROBLEM
Khafagy, Salah A.
El-Zahrani, Eada A.
Serag, Hassan M.
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (4A): : 983 - 998
[3] The Existence, Local Uniqueness, and Asymptotic Stability of the Boundary Layer Type Solution of the Neumann Problem for a Two-Equation Nonlinear System with Different Powers of a Small Parameter
Tishchenko, B., V
MOSCOW UNIVERSITY PHYSICS BULLETIN, 2021, 76 (05) : 296 - 304
[4] The Existence, Local Uniqueness, and Asymptotic Stability of the Boundary Layer Type Solution of the Neumann Problem for a Two-Equation Nonlinear System with Different Powers of a Small Parameter
B. V. Tishchenko
Moscow University Physics Bulletin, 2021, 76 : 296 - 304

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