一类拟线性Neumann问题的多重解

J4 ›› 2009, Vol. 44 ›› Issue (10): 39-42.

一类拟线性Neumann问题的多重解

许万银

陇东学院数学系, 甘肃庆阳 745000

收稿日期:2008-03-31 出版日期:2009-10-16 发布日期:2009-12-07
作者简介:许万银(1962),男,副教授,研究方向为非线性分析与常微分方程. Email:xuwanyin2003@yahoo.com.cn
基金资助:
甘肃省教育厅资助项目(081003)

Multiplicity results for a class of quasi-linear Neumann problems

HU Mo-Yin

Department of Mathematics, Longdong University, Qingyang 745000, Gansu, China

Received:2008-03-31 Online:2009-10-16 Published:2009-12-07

摘要/Abstract

摘要：

利用变分法和一个改进的B Ricceri三临界点定理, 建立了一类具有p-Laplacian的拟线性Neumann问题至少存在三个弱解的充分条件。并且推广了相关文献的结果。

关键词: p-Laplacian;三临界点定理;变分法;弱解;Neumann问题

Abstract:

Using a variational method and an improved three critical point theorem duo to B Ricceri, sufficient condition of the existence of at least three weak solutions for a class of quasilinear Neumann problem involving p-Laplacian are established. Also, results in the literature are generalized.

Key words: p-Laplacian; three critical points theorem; variational method; weak solution; Neumann problem

中图分类号:

O175.8

许万银. 一类拟线性Neumann问题的多重解[J]. J4, 2009, 44(10): 39-42.

HU Mo-Yin. Multiplicity results for a class of quasi-linear Neumann problems[J]. J4, 2009, 44(10): 39-42.

参考文献

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