High energy solutions and nontrivial solutions for fourth-order elliptic equations☆

High energy solutions and nontrivial solutions for fourth-order elliptic equations☆
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DOI:
10.1016/j.jmaa.2010.10.019
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发表时间:
2011-03
影响因子:
1.3
通讯作者:
Yu-Hang Yin;Xian Wu
Yu-Hang Yin;Xian Wu
中科院分区:
数学3区
文献类型:
--
作者:
Yu-Hang Yin;Xian Wu

文献摘要

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本文利用变分方法研究了一类四阶非线性椭圆型方程的非平凡解和无穷多个高能解的存在性。得到了三个主要定理。
In this paper, we study the existence of nontrivial solutions and infinitely many high energy solutions for a class of nonlinear fourth-order elliptic equations in RNvia variational methods. Three main theorems are obtained.