具有对数扰动的临界基尔霍夫方程解的存在性

IF 0.6 4区数学 Q3 MATHEMATICS

Complex Variables and Elliptic Equations Pub Date : 2023-12-28 DOI:10.1080/17476933.2023.2298838

Qi Li, Yuzhu Han

引用次数: 0

摘要

本文研究了以下基尔霍夫型椭圆方程-(a+b∫Ω|∇u|2dx)Δu=λ||u|q-2uln|u|2+|u|4u，该方程涉及一个具有临界索波列夫指数的幂型非线性和一个对数ty...

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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Existence of solutions to a critical Kirchhoff equation with logarithmic perturbation

In this paper, the following Kirchhoff type elliptic equation −(a+b∫Ω|∇u|2dx)Δu=λ|u|q−2uln⁡|u|2+|u|4u, which involves a power type nonlinearity with critical Sobolev exponent and a logarithmic ty...

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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.