High energy solutions for the fourth-order elliptic equations in RN

被引：2
|
作者：
Cheng, Bitao [1 ]
机构：
[1] Qujing Normal Univ, Dept Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2014年
关键词：
fourth-order elliptic equations; symmetric mountain pass theorem; high energy solutions; SIGN-CHANGING SOLUTIONS; NONTRIVIAL SOLUTIONS; BIHARMONIC-EQUATIONS; MULTIPLE SOLUTIONS; SUSPENSION BRIDGES; TRAVELING WAVES; EXISTENCE;
D O I：
10.1186/s13661-014-0199-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we study the following fourth-order elliptic equations: A(2)u Delta u + V(x)u = f(x,u), for x is an element of R-N, u(x) is an element of H-2 (R-N), where V is an element of C(R-N, R), f is an element of C(R-N x R, R). Under more relaxed assumptions on f(x,u), by using some special techniques, a new existence result of high energy solutions is obtained via the symmetric mountain pass theorem.
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页码：1 / 11
页数：11
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