Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem
Multiple solutions for a class of semilinear elliptic problems via Nehari-type linking theorem
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DOI：
10.1007/s00526-017-1111-2
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发表时间：
2017-02
影响因子：
2.1
通讯作者：
Chong Li;Yanyan Liu
中科院分区：
文献类型：
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作者：
Chong Li;Yanyan Liu
本文研究了一类半线性椭圆型方程的多解性，在适当的假设下，当0不是相应泛函的局部极小时，得到了这类方程的至少两个非平凡解.我们在这里使用的方法是基于一个链接结构相关的Nehari流形。
This paper is concerned with multiplicity results for semilinear elliptic equations of the typein,on. We obtain at least two nontrivial solutions for this type of equations with the case that 0 is not a local minimizer of the corresponding functional under suitable hypotheses. The method we used here is based on a linking structure relevant to the Nehari manifold.