On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents

IF 1.1 2区数学 Q1 MATHEMATICS

Bulletin of Mathematical Sciences Pub Date : 2021-08-02 DOI:10.1142/s1664360722500072

Wei Dai, J. Fu

引用次数: 0

Abstract

In this paper, we investigate various properties (e.g., nonexistence, asymptotic behavior, uniqueness and integral representation formula) of positive solutions to nonlinear triharmonic equations in R (n ≥ 2) and bi-harmonic equations in R with negative exponents. Such kind of equations arise from conformal geometry.

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带负指数的非线性三调和及双调和方程正解的性质

研究了R中n≥2的非线性三调和方程和R中带负指数的双调和方程正解的不存在性、渐近性、唯一性和积分表示公式。这类方程来源于共形几何。

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

Bulletin of Mathematical Sciences MATHEMATICS-

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

13 weeks

期刊介绍： The Bulletin of Mathematical Sciences, a peer-reviewed, open access journal, will publish original research work of highest quality and of broad interest in all branches of mathematical sciences. The Bulletin will publish well-written expository articles (40-50 pages) of exceptional value giving the latest state of the art on a specific topic, and short articles (up to 15 pages) containing significant results of wider interest. Most of the expository articles will be invited. The Bulletin of Mathematical Sciences is launched by King Abdulaziz University, Jeddah, Saudi Arabia.