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New existence of multi-spike solutions for the fractional Schr?dinger equations

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成果类型:
期刊论文
作者:
Qing Guo;Yuxia Guo;Shuangjie Peng
作者机构:
[Qing Guo] College of Science, Minzu University of China
[Yuxia Guo] Department of Mathematical Sciences, Tsinghua University
[Shuangjie Peng] School of Mathematics and Statistics, Central China Normal University
语种:
英文
期刊:
中国科学:数学英文版
ISSN:
1674-7283
年:
2022
基金类别:
Qing Guo was supported by National Natural Science Foundation of China (Grant No. 11771469). Yuxia Guo was supported by National Natural Science Foundation of China (Grant No. 11771235); Shuangjie Peng was supported by National Natural Science Foundation of China (Grant No. 11831009);
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
We consider the following fractional Schr?dinger equation:(-?)su+V (y)u=up, u> 0 in RN,(0.1)where s∈(0, 1), 1 k is concentrated at the vertices of the regular k-polygon in the (y1, y2)-plane with k and the radius large enough. Then we show that ukis non-degenerate in our special symmetric workspace, and glue it with an n-spike solution, whose centers lie in another circle in the (y3, y4)-plane, to construct infinitely many multi-spike solutions of new type. The nonlocal property of (-?)sis in sharp contrast to the classical Schr?...

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