Existence of solution for the ( p, q )-fractional Laplacian equation with nonlocal Choquard reaction and exponential growth

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2023-09-28 DOI:10.1080/17476933.2023.2261004

Nguyen Van Thin, Pham Thi Thuy, Trinh Thi Diep Linh

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引用次数: 0

Abstract

AbstractIn this paper, we study the existence of weak solution to (p,q)-fractional Choquard equation in RN as follows Lpsu+Lqsu+V(x)(|u|p−2u+|u|q−2u)=(1|x|μ∗F(u))f(u), where 2≤Ns=p

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具有非局部Choquard反应和指数增长的(p, q)分数阶拉普拉斯方程解的存在性

摘要本文研究了(p,q)-分数阶Choquard方程在RN中弱解的存在性:Lpsu+Lqsu+V(x)(|u|p−2u+|u|q−2u)=(1|x|μ∗F(u)) F(u)，当2≤Ns=p

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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.

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