不确定权值和非标准生长条件下的四阶Leray-Lions问题

IF 1.1 2区数学 Q1 MATHEMATICS

Bulletin of Mathematical Sciences Pub Date : 2021-10-05 DOI:10.1142/S1664360721500089

K. Kefi, N. Irzi, M. M. Al-Shomrani, Dušan D. Repovš

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引用次数: 3

摘要

我们证明了具有非标准生长条件的涉及Leray-Lions算子的四阶不确定权值问题的至少三个弱解的存在性。用变分方法和Bonanno和Marano的临界定理证明了我们的主要结果。农业学报，89(2010)1-10。

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On the fourth-order Leray–Lions problem with indefinite weight and nonstandard growth conditions

We prove the existence of at least three weak solutions for the fourth-order problem with indefinite weight involving the Leray–Lions operator with nonstandard growth conditions. The proof of our main result uses variational methods and the critical theorem of Bonanno and Marano [Appl. Anal. 89 (2010) 1–10].

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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.