分数磁性Schrödinger方程，势在无穷远处消失和超临界指数

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2023-11-29 DOI:10.1080/17476933.2023.2280966

J.C. de Albuquerque, J.L. Santos

引用次数: 0

摘要

本文主要研究以下一类分数阶磁性Schrödinger方程:(−Δ)Asu+V(x)u=g(|u|2)u+λ|u|q−2u，其中(−Δ)As为分数阶磁性拉普拉斯式，A:RN→RN为分数阶磁性拉普拉斯式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Fractional magnetic Schrödinger equations with potential vanishing at infinity and supercritical exponents

This paper focuses on the following class of fractional magnetic Schrödinger equations: (−Δ)Asu+V(x)u=g(|u|2)u+λ|u|q−2u,in RN, where (−Δ)As is the fractional magnetic Laplacian, A:RN→RN is the ma...

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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.