用分岔理论研究一类强奇异拟线性问题的多重性

IF 1.1 2区数学 Q1 MATHEMATICS

Bulletin of Mathematical Sciences Pub Date : 2021-03-13 DOI:10.1142/s1664360722500138

J. Giacomoni, Lais Moreira dos Santos, C. Santos

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引用次数: 0

摘要

研究了一类具有强奇异和$(p-1)$-超线性非线性的$p$-拉普拉斯椭圆问题。利用分岔理论、近似技术和次超解方法，建立了正解的无界分支的存在性，该分支在正$\ λ -$方向上有界，并在$\ λ =0$处从无穷远分叉。作为分叉结果的结果，我们确定了存在和不存在的区间，并在特殊情况下确定了全局多重性的区间。

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Multiplicity for a strongly singular quasilinear problem via bifurcation theory

A $p$-Laplacian elliptic problem in the presence of both strongly singular and $(p-1)$-superlinear nonlinearities is considered. We employ bifurcation theory, approximation techniques and sub-supersolution method to establish the existence of an unbounded branch of positive solutions, which is bounded in positive $\lambda-$direction and bifurcates from infinity at $\lambda=0$. As consequence of the bifurcation result, we determine intervals of existence, nonexistence and, in particular cases, global multiplicity.

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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.