EXISTENCE OF SOLUTIONS FOR A SYSTEM OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Dalmasso, Robert ^{[1
]}

机构：

[1] Equipe EDP, Lab Jean Kuntzmann, F-38041 Grenoble 9, France

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年

关键词：

Nonlinear systems; shooting method; positive radial solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we establish the existence of radial solutions for a system of nonlinear elliptic partial differential equations with Dirichlet boundary conditions. Also we discuss the question of uniqueness, and illustrate our results with examples.

引用

页数：18

共 50 条

[21] EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS [J].

杨作东 ;

杨会生 .

AnnalsofDifferentialEquations, 1999, (04) :438-452

[22] Existence of positive radial solutions for a nonlinear elliptic problem in annulus domains [J].

Deng, Jian .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (13) :1594-1600

[23] Uniqueness of positive radial solutions of superlinear elliptic equations in annuli [J].

Shioji, Naoki ;

Tanaka, Satoshi ;

Watanabe, Kohtaro .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 284 :522-545

[24] On Some Properties of Solutions of Switched Differential Equations [J].

Ignatyev, A. O. .

MATHEMATICAL NOTES, 2023, 114 (1-2) :77-84

[25] Biased Solutions of Differential Equations and their Usage in Control [J].

Carravetta, Francesco .

IFAC PAPERSONLINE, 2017, 50 (01) :15379-15384

[26] Spectral analysis of the Koopman operator for partial differential equations [J].

Nakao, Hiroya ;

Mezic, Igor .

CHAOS, 2020, 30 (11)

[27] Linearized Controllability Analysis of Semilinear Partial Differential Equations [J].

Kolar, Bernd ;

Schoeberl, Markus .

IFAC PAPERSONLINE, 2021, 54 (09) :347-352

[28] Fractional Romanovski-Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions [J].

Abo-Gabal, Howayda ;

Zaky, Mahmoud A. ;

Doha, Eid H. .

APPLIED NUMERICAL MATHEMATICS, 2022, 182 :214-234

[29] Optimal Actuator Design for Nonlinear Partial Differential Equations [J].

Edalatzadeh, M. Sajjad ;

Morris, Kirsten A. .

IFAC PAPERSONLINE, 2019, 52 (02) :128-131

[30] Existence of convex solutions for systems of Monge-Ampere equations [J].

Gao, Min ;

Wang, Fanglei .

BOUNDARY VALUE PROBLEMS, 2015,

← 1 2 3 4 5 →