具有指数临界增长的分数 P-Laplacian 方程的归一化解法

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2024-09-04 DOI:10.1080/17476933.2024.2394876

Ling Huang, Hangxin Wen, Jianjun Zhang, Xuexiu Zhong

引用次数: 0

摘要

本文研究了分数p-拉普拉斯方程(-Δ)psu+λ|u|p-2u=f(u)在RN,N≥2,u∈Ws,p(RN)中的解的存在性，满足归一化约束条件∫RN|u|pdx=cp，当...

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Normalized solutions for the fractional P-Laplacian equation with exponential critical growth

In this paper, we investigate the existence of solution to the fractional p-Laplacian equation (−Δ)psu+λ|u|p−2u=f(u)in RN,N≥2,u∈Ws,p(RN), satisfying the normalization constraint ∫RN|u|pdx=cp, whe...

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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.