涉及p-三调和算子的非线性方程的三个解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.9

S. Shokooh, S. Shokooh

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引用次数: 1

摘要

．研究了一类包含p -三调和算子的非线性椭圆型Navier边值问题至少三个弱解的存在性。用于得到我们结果的主要工具是[B]中建立的两个临界点定理。李晓东，李晓东，李晓东。三临界点定理的再阐释，数学学报，2009,30(4):884 - 889。关于非可微泛函的一个弱紧性条件的临界集的结构，应用科学。农业学报，89(2010)，1-10。

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Three solutions for a nonlinear equation involving p-triharmonic operators

. The existence of at least three weak solutions for a nonlinear elliptic Navier boundary value problem involving the p -triharmonic operator is investigated. The main tools used for obtaining our results are two critical points theorems established in [B. Ricceri, A three critical points theorem revisited, Nonlinear Anal. 9 (2009), 3084-3089] and [G. Bonanno, S.A. Marano, On the structure of the critical set of non-differentiable functionals with a weak compactness condition, Appl. Anal. 89 (2010), 1-10].

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.