兰州大学机构库 >数学与统计学院
全空间上一类带有 p-Laplacian 的双调和方程的多解性
Alternative TitleMultiplicity of nontrivial solutions for biharmonic equations with p-Laplacian in R^{N}
杨荣荣
Thesis Advisor赵培浩
2018-03-20
Degree Grantor兰州大学
Place of Conferral兰州
Degree Name硕士
Keyword双调和方程 p-Laplacian Gagliardo-Nirenberg 不等式 山路引理 Ekeland 变分原理
Abstract

本文主要研究的是全空间上一类带有 p-Laplacian 的双调和问题的多解性,。通过建立参数之间的相互限制,得到该问题至少有两个非平凡的解,其证明主要是在 Gagliardo-Nirenberg 不等式的基础上运用山路引理和 Ekeland 变分原理得到的。

Other Abstract

In this paper,we mainly study a class of biharmonic equations with p-Laplacian.We obtain the existence of two solutions of the problem by establishing the mutual restriction . The proof is mainly obtained by using the Mountain Pass theorem and Ekeland variational principle on the basis of Gagliardo-Nirenberg inequality.
 

URL查看原文
Language中文
Document Type学位论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/224780
Collection数学与统计学院
Recommended Citation
GB/T 7714
杨荣荣. 全空间上一类带有 p-Laplacian 的双调和方程的多解性[D]. 兰州. 兰州大学,2018.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Altmetrics Score
Google Scholar
Similar articles in Google Scholar
[杨荣荣]'s Articles
Baidu academic
Similar articles in Baidu academic
[杨荣荣]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[杨荣荣]'s Articles
Terms of Use
No data!
Social Bookmark/Share
No comment.
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.