Existence of solutions for a class of nonlinear Choquard equations with critical growth

Ao Yong

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Existence of solutions for a class of nonlinear Choquard equations with critical growth

机译：一类非线性Choquard方程的解决方案存在于临界生长

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摘要

In this paper, we consider the nonlinear Choquard equation of the form where is a Riesz potential, , , , . We show the existence of a nontrivial solution of the equation. Moreover, we consider the corresponding minimizing problem and obtain a nonnegative minimizer.

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《Applicable Analysis》 |2021年第4期|共17页
作者
Ao Yong;
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作者单位

Tsinghua Univ Dept Math Sci Beijing Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Nonlinear Choquard equations; Nehari manifold; variational methods; Schwarz rearrangement;

机译：非线性Choquard方程;Nehari歧管;变分方法;Schwarz重新排列;

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Existence of solutions for a class of nonlinear Choquard equations with critical growth

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