摘要
本文研究了一类分数次薛定谔方程解的存在性问题.利用喷泉定理,得到了在超线性增长条件下方程存在无穷多非平凡解,并且证明了相应解的能量是无界的.本文中非线性项不满足AmbrosettiRabinowitz条件,推广了文献[12]中的结果.
In this paper,we study the existence of infinitely many large energy solutions for the superlinear fractional Schrodinger equations via the Fountain Theorem in the critical point theory.In particular,we do not use the classical Ambrosetti-Rabinowitz condition,which extends the result in[12].
作者
张金国
蔡龙生
ZHANG Jin-guo;CAI Long-sheng(College of Mathematics & Information Science,Jiangxi Normal University,Nanchang 330022,China;Department of Mathematics,Shanghai JiaoTong University,Shanghai 200240,China)
出处
《数学杂志》
2019年第3期335-343,共9页
Journal of Mathematics
基金
Supported by NSFC(11371282)
Natural Science Foundation of Jiangxi(20142BAB211002)
关键词
分数次薛定谔方程
超线性
喷泉定理
fractional Schrodinger equations
superlinear
fountain theorem
