EXISTENCE OF SOLUTIONS TO THE SUPERCRITICAL HARDY-LITTLEWOOD-SOBOLEV SYSTEM WITH FRACTIONAL LAPLACIANS

Cheng Ze; Gui Changfeng; Hu Yeyao

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EXISTENCE OF SOLUTIONS TO THE SUPERCRITICAL HARDY-LITTLEWOOD-SOBOLEV SYSTEM WITH FRACTIONAL LAPLACIANS

机译：分数阶Laplace算子超临界Hardy-Littlewood-Sobolev系统的解的存在性。

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摘要

It is known that the supercritical Hardy-Littlewood-Sobolev (HLS) systems with an integer power of Laplacian admit classic solutions. In this paper, we prove that the supercritical HLS systems with fractional Laplacians (-Delta)(S), s is an element of (0,1), also admit classic solutions. .

机译：众所周知，具有整数倍拉普拉斯算力的超临界Hardy-Littlewood-Sobolev（HLS）系统接受经典解决方案。在本文中，我们证明具有分数拉普拉斯算子（-Delta）（S）s的超临界HLS系统是（0,1）的元素，也适用经典解。。

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来源
《Discrete and continuous dynamical systems》 |2019年第3期|1345-1358|共14页
作者
Cheng Ze; Gui Changfeng; Hu Yeyao;
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作者单位

Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA;

Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA;

Univ Texas San Antonio, Dept Math, San Antonio, TX 78249 USA;

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原文格式 PDF
正文语种 eng
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关键词
Fractional Laplacian; bifurcation theory; asymptotic analysis;

机译：分数拉普拉斯;分岔理论;渐近分析;

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EXISTENCE OF SOLUTIONS TO THE SUPERCRITICAL HARDY-LITTLEWOOD-SOBOLEV SYSTEM WITH FRACTIONAL LAPLACIANS

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