Saddle solutions of nonlinear elliptic equations involving the p-Laplacian

被引：0
作者：
Zhuoran Du
Zheng Zhou
Baishun Lai
机构：
[1] Hunan University,College of Mathematics and Econometrics
[2] Xiamen University of Technology,Department of Mathematics and Physics
[3] Henan University,Institute of Contemporary Mathematics, Henan University School of Mathematics and Information Science
来源：
Nonlinear Differential Equations and Applications NoDEA | 2011年 / 18卷
关键词：
35J60; 35J70; 35J20; 34D20; 34C37; -Laplacian; Saddle solutions; Variational methods;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove the existence of saddle solutions of nonlinear elliptic equation involving the p-Laplacian \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ -\Delta_{p}u=f(u) \quad \text{in}\,\,R^n, $$\end{document}where p > 2, n := 2m ≥ 2p. We also get a pointwise estimate of the saddle solutions.
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页码：101 / 114
页数：13
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