具有无穷多个解的分数阶schrÖdinger-poisson系统

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/JKMS.J190156

T. Jin, Zhipeng Yang

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引用次数: 7

摘要

。本文研究了超立方分数阶Schr¨odinger-Poisson系统无穷多个大能量解的存在性。我们从众所周知的Ambrosetti-Rabinowitz型条件出发，考虑了非线性的不同的超线性增长假设。利用喷泉定理，在此情况下得到了三个不同的存在性结果，所有这些结果都将半线性Schr¨odinger-Poisson系统的一些结果推广到非局部分数型情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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THE FRACTIONAL SCHRÖDINGER-POISSON SYSTEMS WITH INFINITELY MANY SOLUTIONS

. In this paper, we study the existence of inﬁnitely many large energy solutions for the supercubic fractional Schr¨odinger-Poisson sys- tems. We consider diﬀerent superlinear growth assumptions on the nonlinearity, starting from the well-know Ambrosetti-Rabinowitz type condi- tion. We obtain three diﬀerent existence results in this setting by using the Fountain Theorem, all these results extend some results for semelinear Schr¨odinger-Poisson systems to the nonlocal fractional setting.

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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).