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
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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