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

页码：255 / 265

页数：11

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