On Li-Lin's open problem

2024/02/19 by Zhi-Yun Tang, Xianhua Tang, Tang, Zhi-Yun +1 · 1 citation
Computer Science · #Analysis of PDEs (math.AP) #Computability, Logic, AI Algorithms #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2402.12206

openalex publication_date 2024/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a first negative answer to a question proposed by Li and Lin (Arch Ration Mech Anal 203(3): 943-968, 2012). Meanwhile we also give a second positive answer to the Li-Lin's open problem. The first positive answer was given by G. Cerami, X. Zhong and W. Zou (Calc. Var. Partial Differential Equations, 54(2): 1793-1829, 2015).

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• The Li-Lin's open problem on ℝ^N

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