[1]陈莉,袁俊丽.一类p-Laplacian椭圆型方程边值问题的解[J].南京师大学报(自然科学版),2012,35(03):31-36.
　Chen Li,Yuan Junli.Solutions for a Class of p-Laplacian Elliptic Boundary Value Problem[J].Journal of Nanjing Normal University(Natural Science Edition),2012,35(03):31-36.
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一类p-Laplacian椭圆型方程边值问题的解()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第35卷
期数:
2012年03期
页码:
31-36
栏目:
数学
出版日期:
2012-09-20

文章信息/Info

Title:
Solutions for a Class of p-Laplacian Elliptic Boundary Value Problem
作者:
陈莉;袁俊丽;
南通大学理学院，江苏南通226007
Author(s):
Chen Li; Yuan Junli
School of Science,Nantong University,Nantong 226007,China
关键词:
p-Laplacian 方程; 边界爆破; 存在性
Keywords:
p-Laplacian equations; boundary blow-up; existence
分类号:
O175.26
摘要:
本文研究了一类p-Laplacian椭圆型方程-Δpu=a(x)h(u)-b(x)f(u)齐次边值问题和奇性边值问题解的存在性,其中Δpu=div(|▽u|p-2▽u),p>1,h(u)/up-1在(0,+∞)非增,f(u)/up-1在(0,+∞)非减.
Abstract:
In this paper，we study the existence of solutions for a class of p-Laplacian elliptic homogenous and singular boundary value problem － Δpu = a( x) h( u) － b( x) f( u) ，where Δpu = div( |u | p － 2u) ，p ＞ 1，h( u) /up － 1 is nonincreasing in ( 0，+ ∞) ，f( u) /up － 1 is nondecreasing in ( 0，+ ∞) ．

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 11071049) 、南通市应用研究项目( K2010042) ．通讯联系人: 陈莉，讲师，研究方向: 偏微分方程． E-mail: sandc2001@ ntu． edu． cn
更新日期/Last Update: 2013-03-11