数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (3): 1116-1130.doi: 10.1007/s10473-023-0308-z
Qing Guo1, Leiga Zhao2,†
收稿日期:2021-05-24
修回日期:2022-08-22
出版日期:2023-06-25
发布日期:2023-06-06
通讯作者:
† Leiga Zhao, E-mail: zhaoleiga@163.com
作者简介:Qing Guo, E-mail: guoqing0117@163.com
基金资助:Qing Guo1, Leiga Zhao2,†
Received:2021-05-24
Revised:2022-08-22
Online:2023-06-25
Published:2023-06-06
Contact:
† Leiga Zhao, E-mail: zhaoleiga@163.com
About author:Qing Guo, E-mail: guoqing0117@163.com
Supported by:摘要： In this paper, we study the Schrödinger equations
$ (-\Delta)^s u+ V(x)u= a(x)|u|^{p-2}u+b(x)|u|^{q-2}u,\ \ x\in\ {\mathbb{R}}^{N},$
where $0<s<1$, $2<q<p<2^*_s$, $2^*_s$ is the fractional Sobolev critical exponent. Under suitable assumptions on $V$, $a$ and $b$ for which there may be no ground state solution, the existence of positive solutions are obtained via variational methods.
Qing Guo, Leiga Zhao. POSITIVE SOLUTIONS WITH HIGH ENERGY FOR FRACTIONAL SCHRÖDINGER EQUATIONS*[J]. 数学物理学报(英文版), 2023, 43(3): 1116-1130.
Qing Guo, Leiga Zhao. POSITIVE SOLUTIONS WITH HIGH ENERGY FOR FRACTIONAL SCHRÖDINGER EQUATIONS*[J]. Acta mathematica scientia,Series B, 2023, 43(3): 1116-1130.
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