Existence of Multiple Solutions of Higher-Order Nonlinear Elliptic Equations

被引：0
|
作者：
Lubyshev, V. F. [1 ]
机构：
[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 117901, Russia
来源：
MATHEMATICAL NOTES | 2011年 / 89卷 / 1-2期
基金：
俄罗斯基础研究基金会;
关键词：
higher-order elliptic equation; convex-concave nonlinearity; multiple solutions; fibering method; variational method; Hamiltonian system; Dirichlet problem; POSITIVE SOLUTIONS; SYSTEMS; SOBOLEV;
D O I：
10.1134/S0001434611010317
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the existence of multiple solutions for a class of even-order nonlinear elliptic equations with the Dirichlet boundary conditions. We also study the corresponding nonlinear Hamiltonian system of higher-order linear equations.
引用
收藏
页码：255 / 265
页数：11
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