Nonexistence of positive solutions for the weighted higher-order elliptic system with Navier boundary condition

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-01-26 DOI:10.1186/s13661-024-01831-9

Weiwei Zhao, Xiaoling Shao, Changhui Hu, Zhiyu Cheng

引用次数: 0

Abstract

We establish a Liouville-type theorem for a weighted higher-order elliptic system in a wider exponent region described via a critical curve. We first establish a Liouville-type theorem to the involved integral system and then prove the equivalence between the two systems by using superharmonic properties of the differential systems. This improves the results in (Complex Var. Elliptic Equ. 5:1436–1450, 2013) and (Abstr. Appl. Anal. 2014:593210, 2014).

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带纳维边界条件的加权高阶椭圆系统正解的不存在性

我们为通过临界曲线描述的较宽指数区中的加权高阶椭圆系统建立了一个 Liouville 型定理。我们首先为所涉及的积分系统建立了一个 Liouville 型定理，然后利用微分系统的超谐波特性证明了这两个系统之间的等价性。这改进了 (Complex Var. Elliptic Equ. 5:1436-1450, 2013) 和 (Abstr. Appl. Anal. 2014:593210, 2014) 中的结果。

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

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.