检索结果-南通市图书馆

在线全文

学校读者我要写书评

暂无评论

拟线性椭圆组弱解的部分正则性

科学通报 1991年第3期36卷 173-176页

作者：严树森李工宝中国科学院武汉数学物理研究所武汉430071

本文考虑下面椭圆组弱解的部分正则性:■其中Ω是R^n的一个有界区域,n≥3,N≥1。这里,重复的英文(希腊)字母表示从1到N(n)求和。

关键词：拟线性椭圆组弱解正则性

类渐近线性p&q-Laplace方程弱解的全局衰减性

在线全文

学校读者我要写书评

暂无评论

数学物理学报（A辑） 2009年第2期29卷 217-222页

作者：何成军李工宝中国科学院武汉物理与数学研究所武汉430071 华中师范大学数学与统计学院武汉430072

该文研究椭圆型方程■弱解在全空间R^N上的衰减性,其中m,n≥0,N≥3,1

关键词： p&q—Laplace 椭圆型方程解的衰减性

在线全文

学校读者我要写书评

暂无评论

从距离谈起

从距离谈起

THE EXISTENCE OF SOLUTIONS OF QUASILINEAR ELLIPTIC EQUATIONS WITH CHANGE OF SIGN

1985年

作者：丁夏畦李工宝

来源：汇雅图书（南通市图书馆... 评论

在线全文

汇雅图书（南通市图书馆）

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2001年第4期21卷 469-482页

作者：李工宝余纯 Young Scientist Laboratory of Mathematical Sciences Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences P.O. Box 71010 Wuhan 430071 China Department of Mathematics Wuhan University Wuhan 430072 China

This paper considers the following quasilinear elliptic problem [GRAPHICS] where Omega is a bounded regular domain in R-N (N greater than or equal to 3), N > p > 1. When g(u) satisfies suitable conditions and g(u)u - beta integral (u)(0) g(s)ds is unbounded, a(x) is a Holder continuous function which changes sign on Omega and integral (Omega-) \a(x)\ dx is suitably small. The authors prove the existence of a nonnegative nontrivial solution for N > p > 1. in particular, the existence of a positive solution to the problem for N > p greater than or equal to 2. Our main theorem generalizes a recent result of Samia Khanfir and Leila Lassoued (see [1]) concerning the case where p = 2. They prove also that if g(u) = \u \ (q-2)u with p 0} is a nonempty open set, then the above problem possesses infinitely many solutions.

关键词： qasilinear elliptic equation (PS) condition mountain-pass Lemma infinite solution

MULTIPLE SOLUTIONS FOR THE p&q-LAPLACIAN PROBLEM WITH CRITICAL EXPONENT

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 2009年第4期29卷 903-918页

作者：李工宝张国 College of Mathematics and Statistics Central China Normal University

In this paper, we study the existence of multiple solutions for the following nonlinear elliptic problem of p＆q-Laplacian type involving the critical Sobolev exponent：{-△pu-△qu=│u│^p＊-2u＋μ│u│^r-2u in Ω u│δΩ=0,where Ω belong to R^N is a bounded domain,N〉p,p^＊=Np/N-p is the critical Sobolev exponent and μ 〉0. We prove that if 1 〈 r 〈 q 〈 p 〈 N, then there is a μ0 〉 0, such that for any μ∈ （0, μ0）, the above mentioned problem possesses infinitely many weak solutions. Our result generalizes a similar result in [8] for p-Laplacian type problem.

关键词： p&q-Laplacian multiplicity of solutions critical exponent

带非齐次扰动项和Hardy-Sobolev临界指数项的双调和方程的两个弱解的存在性

在线全文

学校读者我要写书评

暂无评论

中国科学：数学 2019年第12期49卷 1813-1844页

作者：李工宝杨涛黄岸浪华中师范大学数学与统计学学院

本文用变分方法研究如下RN中包含0的有界光滑区域Ω上带非齐次扰动项和Hardy奇异项及Sobolev临界指数项的非线性双调和问题:的非平凡解的存在性,其中n是∂Ω的单位外法向量,λ∈R,0≤s≤4,N≥5,且2**=2N/(N-4)是H02(Ω)嵌入到Lp(Ω)的Sob... 详细信息

本文用变分方法研究如下RN中包含0的有界光滑区域Ω上带非齐次扰动项和Hardy奇异项及Sobolev临界指数项的非线性双调和问题:的非平凡解的存在性,其中n是∂Ω的单位外法向量,λ∈R,0≤s≤4,N≥5,且2**=2N/(N-4)是H02(Ω)嵌入到Lp(Ω)的Sobolev临界指数,∆2是重调和算子,f∈H0-2(Ω).本文在f的范数适当小且相关参数满足适当的条件时证明(*)至少有两个非平凡解.本文的主要结果将Tarantello(1992)关于调和方程的结果推广到了双调和方程,同时也将Deng和Wang(1999)的结果推广到了含Hardy奇异项的情形,更重要的是本文考虑了2≤s≤4的情形.

关键词：非线性双调和问题临界指数 Hardy奇异项非齐次扰动项两个弱解的存在性

L~∞ESTIMATE FOR SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS IN R^N

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 1994年第1期14卷 75-81页

作者：李工宝 Inst. of Math. Sci. The Chinese Academy of Sciences Sinica PO Box 71007 Wuhan 430071 China

In this paper, we get the L∞ estimate for the solutions of the following elliptic equation in RN with limiting Sobolev exponent and inhomogeneous termand we show that any solution u of the above equation satisfies

关键词：拟线性椭圆型方程 L↑∞估计

THE EXISTENCE OF INFINITELY MANY SO UTIONS OF QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS IN UNBOUNDED DOMAINS

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 1989年第2期9卷 175-188页

作者：李工宝 Inst. of Math. Sci. Academia Sinica Wuhan China

In this paper, we use the concentration-compactness principle together with the Mountain Pass Lemma to get the existence of nontrivial solutions and the existence of infinitely many solutions of the problem need not b... 详细信息

关键词： THE EXISTENCE OF INFINITELY MANY SO UTIONS OF QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS IN UNBOUNDED DOMAINS

THE　EXISTENCE　OF　A　WEAK　SOLUTION　OF　QUASILINEAR　ELLIPTIC　EQUATION　WITH　CRITICAL　SOBOLV　EXPONENT　ON　UNBOUNDED　DOMAIN

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Scientia 1994年第1期14卷 64-74页

作者：李工宝 Inst. of Math. Sci. The Chinese Academy of Sciences Wuhan 430071 China

In this paper, the existence of a weak solution to the following elliptic equation with critical Sobolew exponent on unbounded domain Ω is provedwhere N ≥ p ≥ 2 and Ω is a smooth domain in RN, f(x,u) ～ |u|p-z at... 详细信息

关键词：临界Sobolev指数拟线性椭圆型方程弱解