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

被引：0
|
作者：
Bitao Cheng
机构：
[1] Qujing Normal University,Department of Mathematics and Information Science
来源：
Boundary Value Problems | / 2014卷
关键词：
fourth-order elliptic equations; symmetric mountain pass theorem; high energy solutions;
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学科分类号：
摘要：
In the present paper, we study the following fourth-order elliptic equations: Δ2u−Δu+V(x)u=f(x,u), for x∈RN, u(x)∈H2(RN), where V∈C(RN,R), f∈C(RN×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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