A Neumann problem in exterior domain

被引：0

作者：

Daomin Cao

Marcello Lucia

Huan-Song Zhou

机构：

[1] Institute of Applied Mathematics,

[2] AMMS,undefined

[3] Chinese Academy of Sciences,undefined

[4] Beijing 100080,undefined

[5] P.R. China,undefined

[6] Università degli Studi di Roma “Tor Vergata”,undefined

[7] Dipartimento di Matematica,undefined

[8] Via della Ricerca Scientifica,undefined

[9] 00133 Roma,undefined

[10] Italy,undefined

[11] Young Scientist Laboratory of Mathematical Physics,undefined

[12] Wuhan Institute of Physics and Mathematics,undefined

[13] Chinese Academy of Sciences,undefined

[14] P.O.Box 71010,undefined

[15] Wuhan 430071,undefined

[16] P.R. China,undefined

来源：

manuscripta mathematica | 2001年 / 106卷

关键词：

Neumann Problem; Exterior Domain; Radial Solution; Interior Derivative;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We are concerned with the existence of radial solutions for the following Neumann problem \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} where Ω is an exterior domain in ℝN, \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} denotes the normal interior derivative on ∂Ω and g satisfies certain assumptions.

引用

页码：63 / 74

页数：11

共 50 条

[41] Positive radial solutions for the problem with Minkowski-curvature operator on an exterior domain [J].

Zhao, Zhongzi ;

Yan, Meng .

AIMS MATHEMATICS, 2023, 8 (09) :20654-20664

[42] Bifurcation of nodal radial solutions for a prescribed mean curvature problem on an exterior domain [J].

Yang, Rui ;

Lee, Yong-Hoon ;

Sim, Inbo .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 268 (08) :4464-4490

[43] Existence of a ground state solution for an elliptic problem with critical growth in an exterior domain [J].

Montenegro, Marcelo ;

Abreu, Rafael .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2014, 109 :341-349

[44] EXISTENCE AND NONEXISTENCE OF POSITIVE RADIAL SOLUTIONS OF AN ELLIPTIC DIRICHLET PROBLEM IN AN EXTERIOR DOMAIN [J].

SANTANILLA, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1995, 25 (12) :1391-1399

[45] POSITIVE RADIAL SOLUTIONS OF A QUASILINEAR PROBLEM IN AN EXTERIOR DOMAIN WITH VANISHING BOUNDARY CONDITIONS [J].

Carlos Guajardo, Juan ;

Lorca, Sebastian ;

Mahadevan, Rajesh .

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2021, 57 (02) :569-595

[46] Nonlinear p-Laplacian Problem Involving a Hardy Potential in Exterior Domain [J].

Kesarwani, Akanksha ;

Kar, Rasmita .

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2025,

[47] The numerical solution of exterior Neumann problem for Helmholtz's equation via modified Green's functions approach [J].

Lin, TC ;

Warnapala-Yehiya, Y .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2004, 47 (4-5) :593-609

[48] The asymptotics of the solution to the neumann spectral problem in a domain of the "dense-comb" type [J].

Melnik T.A. ;

Nazarov S.A. .

Journal of Mathematical Sciences, 1997, 85 (6) :2326-2346

[49] The Neumann Problem for a Multidimensional Elliptic Equation with Several Singular Coefficients in an Infinite Domain [J].

Ergashev, T. G. ;

Tulakova, Z. R. .

LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (01) :199-206

[50] Local existence of solutions for the Neumann problem of the nonlinear elastodynamic system outside a domain [J].

Lu, Hong ;

Xin, Jie ;

Hu, Jiaqian .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 378 (02) :463-479

← 1 2 3 4 5 →