WU Huiling.Infinitely many solutions for a Choquard equation[J].Journal of Yanbian University,2021,47(03):200-205.
一类Choquard方程的无穷多解
- Title:
- Infinitely many solutions for a Choquard equation
- 文章编号:
- 1004-4353(2021)03-0200-06
- Keywords:
- Choquard equation; infinitely many solutions; Fountain theorem; Hardy - Littlewood - Sobolev inequality; sign - changing potentional
- 分类号:
- O175.25
- 文献标志码:
- A
- 摘要:
- 利用喷泉定理和Hardy - Littlewood - Sobolev不等式证明了一类具有一般的次临界非线性项以及变号位势函数的Choquard方程无穷多解的存在性.该结果将文献[16]中的关于Schrödinger方程的结论拓展到了Choquard方程中.
- Abstract:
- The existence of infinitely many solutions of a Choquard type equation with general subcritical nonlinearities and sign - changing potential is proved by a Fountain theorem and the Hardy - Littlewood - Sobolev inequality. This result extends the result for a Schrödinger equation in literature [16] to a Choquard type equation.
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相似文献/References:
[1]吴燕林,钱晓涛.一类次临界增长非局部问题的无穷多解[J].延边大学学报(自然科学版),2019,45(04):299.
WU Yanlin,QIAN Xiaotao.Infinitely many solutions for a class of nonlocalproblem with subcritical growth[J].Journal of Yanbian University,2019,45(03):299.
备注/Memo
收稿日期: 2021-05-06
基金项目: 福建省教育厅中青年教师教育科研项目(JAT190614)
作者简介: 伍慧玲(1986—),女,硕士,讲师,研究方向为非线性分析.