具有一般势能的分数薛定谔方程的归一化边界解

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2024-04-14 DOI:10.1080/17476933.2024.2338436

Xin Bao, Ying Lv, Zeng-Qi Ou

引用次数: 0

摘要

本文研究了一类分数薛定谔方程（1）{(-Δ)su=λu+a(x)|u|p-2u,∫RN|u|2dx=c2,u∈Hs(RN)，其中N>2s,s∈(0,1)和p∈(2,2+4s/N),c>0.a(x)∈C(RN,R)是一个正的有...

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Normalized bound state solutions of fractional Schrödinger equations with general potential

In this article, we study a class of fractional Schrödinger equation (1) {(−Δ)su=λu+a(x)|u|p−2u,∫RN|u|2dx=c2,u∈Hs(RN), where N>2s, s∈(0,1) and p∈(2,2+4s/N),c>0. a(x)∈C(RN,R) is a positive potent...

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来源期刊

Complex Variables and Elliptic Equations MATHEMATICS-

CiteScore

2.00

自引率

11.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Complex Variables and Elliptic Equations is devoted to complex variables and elliptic equations including linear and nonlinear equations and systems, function theoretical methods and applications, functional analytic, topological and variational methods, spectral theory, sub-elliptic and hypoelliptic equations, multivariable complex analysis and analysis on Lie groups, homogeneous spaces and CR-manifolds. The Journal was formally published as Complex Variables Theory and Application.