Three solutions for a nonlinear equation involving p-triharmonic operators

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

引用次数: 1

Abstract

. 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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涉及p-三调和算子的非线性方程的三个解

．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。

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

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

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