类拉普拉斯Neumann问题解的存在性和多重性

IF 1.9 3区数学 Q1 MATHEMATICS

Journal of Function Spaces Pub Date : 2023-09-16 DOI:10.1155/2023/6692867

Changmu Chu, Ying Tang

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引用次数: 0

摘要

本文用变分方法讨论了一类由毛细现象引起的具有类拉普拉斯算子和非标准生长条件的Neumann问题。利用最小作用原理和喷泉定理，在适当的假设下，证明了一类Neumann问题解的存在性和多重性。

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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The Existence and Multiplicity of Solutions for

p (x)

-Laplacian-Like Neumann Problems

In the present paper, in view of the variational approach, we discuss the Neumann problems with

p (x)

-Laplacian-like operator and nonstandard growth condition, originated from a capillary phenomena. By using the least action principle and fountain theorem, we prove the existence and multiplicity of solutions to the class of Neumann problems under suitable assumptions.

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来源期刊

Journal of Function Spaces MATHEMATICS, APPLIEDMATHEMATICS -MATHEMATICS

CiteScore

4.10

自引率

10.50%

发文量

451

审稿时长

15 weeks

期刊介绍： Journal of Function Spaces (formerly titled Journal of Function Spaces and Applications) publishes papers on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines. As well as original research, Journal of Function Spaces also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.