Some examples on solution structures for weakly nonlinear elliptic equations

被引：0

作者：

Dancer, EN ^{[1
]}

机构：

[1] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 12卷 / 05期

关键词：

global solution structures; simple bifurcations; general domains;

D O I：

10.3934/dcds.2005.12.817

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss bifurcation problems for weakly nonlinear elliptic elliptic equations involving a pth power term where p is larger than 1 but close to 1. We show that in a number of cases one can obtain rather complete information about the structure of the set of positive solutions. These results apply to any bounded domain.

引用

下载

页码：817 / 826

页数：10

共 50 条

[41] Solution estimates for one class of elliptic and parabolic nonlinear equations
Kakharman, N.
Otelbaev, M.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (11) : 1906 - 1915
[42] The existence and uniqueness of the solution for nonlinear elliptic equations in Hilbert spaces
Zhou, Jianjun
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[43] A METHOD TO CONSTRUCT WEIERSTRASS ELLIPTIC FUNCTION SOLUTION FOR NONLINEAR EQUATIONS
Shi, Liang-Ma
Zhang, Ling-Feng
Meng, Hao
Zhao, Hong-Wei
Zhou, Shi-Ping
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2011, 25 (14): : 1931 - 1939
[44] A FUNCTIONAL ANALYTIC APPROACH TO NUMERICAL SOLUTION OF NONLINEAR ELLIPTIC EQUATIONS
ALLGOWER, E
GUENTHER, R
COMPUTING, 1967, 2 (01) : 25 - &
[45] The existence and uniqueness of the solution for nonlinear elliptic equations in Hilbert spaces
Jianjun Zhou
Journal of Inequalities and Applications, 2015
[46] Inverse problem for a class of nonlinear elliptic equations with entropy solution
Ellabib, Abdellatif
Ouakrim, Youssef
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2019, 46 : 137 - 156
[47] Existence and Uniqueness of Solution for a Class of Nonlinear Degenerate Elliptic Equations
Albo Carlos Cavalheiro
Analysis in Theory and Applications, 2020, 36 (01) : 69 - 88
[48] On the integration of some classes of weakly deformed nonlinear Schrodinger equations
Zenchuk, AI
JETP LETTERS, 1997, 66 (03) : 222 - 228
[49] Existence and Uniqueness of Solution for a Class of Nonlinear Degenerate Elliptic Equations
Cavalheiro, Albo Carlos
ANALYSIS IN THEORY AND APPLICATIONS, 2020, 36 (01) : 69 - 88
[50] Regularized solution for nonlinear elliptic equations with random discrete data
Nguyen Duc Phuong
Nguyen Huy Tuan
Baleanu, Dumitru
Nguyen Hoang Luc
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) : 6829 - 6848

← 1 2 3 4 5 →