On a Nirenberg-type problem involving the half Laplacian: density and multiplicity of solutions

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2023-03-06 DOI:10.1007/s10231-023-01316-z

Zhongwei Tang, Heming Wang, Ning Zhou

引用次数: 2

Abstract

In this paper, we study a Nirenberg-type problem involving the half Laplacian. By applying the minimax procedure introduced by Coti Zelati and Rabinowitz and combining the blow-up analysis arguments, we obtain a \(C^0\) density result and also the existence of infinitely many multi-bump solutions.

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关于半拉普拉斯算子的Nirenberg型问题：解的密度和多重性

本文研究了一个涉及半拉普拉斯算子的Nirenberg型问题。通过应用Coti Zelati和Rabinowitz提出的极大极小程序，并结合爆破分析的论点，我们得到了一个密度结果，同时也得到了无穷多个多凸点解的存在性。

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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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.