论ℝN 中具有双临界索波列夫指数的乔夸德方程

IF 0.6 4区数学 Q3 MATHEMATICS Complex Variables and Elliptic Equations Pub Date : 2024-04-12 DOI:10.1080/17476933.2024.2310228

Zhongyuan Liu, Ziying Liu, Wenhuan Xu

引用次数: 0

摘要

本文研究 Choquard 方程-Δu=(∫RN|u(y)|2α∗|x-y|αdy)|u|2α∗-2u±|u|q-2uinRN 的存在与不存在结果，其中 2α∗=2N-αN-2，0<α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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On the Choquard equation with double critical Sobolev exponents in ℝN

In this paper, we study the existence and nonexistence results to the Choquard equation −Δu=(∫RN|u(y)|2α∗|x−y|αdy)|u|2α∗−2u±|u|q−2uinRN, where 2α∗=2N−αN−2, 0<α

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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.