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Positive solutions to a nonlinear fractional equation with an external source term

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成果类型:
期刊论文
作者:
Li, Qi;Pan, Kefan;Peng, Shuangjie
通讯作者:
Shuangjie Peng
作者机构:
[Li, Qi] Wuhan Univ Sci & Technol, Coll Sci, Wuhan 430065, Peoples R China.
[Li, Qi] Wuhan Univ Sci & Technol, Hubei Prov Key Lab Syst Sci Met Proc, Wuhan 430065, Peoples R China.
[Peng, Shuangjie; Pan, Kefan] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Peng, Shuangjie; Pan, Kefan] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
通讯机构:
[Shuangjie Peng] S
School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, China
语种:
英文
关键词:
$ k $-peak solutions;nonlinear fractional equation;Lyapunov-Schmidt reduction scheme
期刊:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN:
1078-0947
年:
2022
卷:
42
期:
10
页码:
4669-4706
基金类别:
Acknowledgments. The authors would like to thank the anonymous referees for carefully reading this paper and making valuable comments. Qi Li was supported by NNSF of China (No. 12071169). Shuangjie Peng was supported by NNSF of China (No. 11831009).
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
<p style='text-indent:20px;'>This paper deals with the following nonlinear fractional equation with an external source term</p><p style='text-indent:20px;'><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} \label{eqS0.1} (-\Delta)^{s}u +u = K(x)u^{p}+f(x), \; u>0, \; x\in{\Bbb R}^N, \end{equation*} $\end{document} </tex-math></disp-formula></p><p style='text-indent:20px;'>where <inline-formula><tex-math id="M1">\begin{document}$ N>2s $\end{document}</tex-math></inline-fo...

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