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| 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. |
| 关键词: 分数次薛定谔方程 超线性 喷泉定理 |
| DOI： |
| 分类号:O175.25 |
| 基金项目:Supported by NSFC (11371282) and Natural Science Foundation of Jiangxi (20142BAB211002). |
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| INFINITELY MANY SOLUTIONS FOR A SUPERLINEAR FRACTIONAL SCHRÖDINGER EQUATIONS |
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ZHANG Jin-guo,CAI Long-sheng
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| Abstract: |
| In this paper, we study the existence of infinitely many large energy solutions for the superlinear fractional Schrödinger 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]. |
| Key words: fractional Schrödinger equations superlinear fountain theorem |
