Ground state solutions of nonlinear Schrödinger equations involving the fractional p-Laplacian and potential wells

Open Mathematics

卷:20

Niu Miaomiao¹  Chen Yongpeng² 

[1] College of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, P. R. China;

[2] School of Science, Guangxi University of Science and Technology, Liuzhou, 545006, P. R. China;

关键词: nonlinear schrödinger equation;    ground state solution;    fractional p-laplacian;    variational methods;    35j60;    35b33;   

DOI  :  10.1515/math-2022-0006

来源: DOAJ

【 摘 要 】

The purpose of this paper is to investigate the ground state solutions for the following nonlinear Schrödinger equations involving the fractional p-Laplacian (−Δ)psu(x)+λV(x)u(x)p−1=u(x)q−1,u(x)≥0,x∈RN,{\left(-\Delta )}_{p}^{s}u\left(x)+\lambda V\left(x)u{\left(x)}^{p-1}=u{\left(x)}^{q-1},\hspace{1em}u\left(x)\ge 0,\hspace{0.33em}x\in {{\mathbb{R}}}^{N}, where λ>0\lambda \gt 0 is a parameter, 1

【 授权许可】

Unknown