[1]穆罕麦德,等.含临界指数的双调和问题非平凡解的存在性(英文)[J].南京师大学报(自然科学版),2007,30(04):1-5.
　Ahamed Adam Abdelgadir,Shen Yaotian,Yao Yangxin.Existence of Nontrivial Solution for Biharmonic Problems Involving Critical Sobolev Exponents[J].Journal of Nanjing Normal University(Natural Science Edition),2007,30(04):1-5.
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含临界指数的双调和问题非平凡解的存在性(英文)()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第30卷
期数:
2007年04期
页码:
1-5
栏目:
数学
出版日期:
2007-12-30

文章信息/Info

Title:
Existence of Nontrivial Solution for Biharmonic Problems Involving Critical Sobolev Exponents
作者:
穆罕麦德1;  2;  沈尧天1;  姚仰新1
( 1. 华南理工大学数学科学学院, 广东广州510640)
( 2. 布鲁奈尔大学工程学院数学部, 苏丹)
Author(s):
Ahamed Adam Abdelgadir1; 2; Shen Yaotian1; Yao Yangxin1
1.School of Mathematical Sciences,South China University of Technology,Guangzhou 510640,China
2. B lue N ile U nivers ity, Facu lty of E ngineering Department of Mathematics, Sudan-Dam azin
关键词:
双调和方程;  Sobolev临界指数;  非平凡解
Keywords:
b iharmon ic prob lem;  crit ica lS obolev exponen t;  non trivial solu tion
分类号:
O175.2
摘要:
讨论如下含临界指数的双调和方程非平凡解的存在性Δ2u=μu|x|s+|u|2*-2u+λu+f(x),x∈Ω,u=uv=0,x∈Ω.其中ΩRN是有界光滑区域,0∈Ω,N≥5,0≤s≤4,0≤μ<μ-=N(N4-4)2,2*=N2-N4为W2,2(Ω)中Sobolev嵌入的临界指数,u,v表示Ω的外法线方向,f(x)为给定函数.通过变分方法,我们证明了含临界指数的双调和方程非平凡解的存在性.

参考文献/References:

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备注/Memo

备注/Memo:
Foundation item: Supported by the NNSF( 10471047 ) and NSF of Gu angdong Province( 05300159) .
Biography: Ahamed Adam Abdelgadir, born in 1976, doctora,l m ajored in partial d if feren tial equations. E-m ail:ahm edm ath17@ hotmail.com
Corresponding autho r: Shen Yaotian, born in 1938, professor, ma jored in part ial d ifferent ial equ at ion s. E-m ail:m aytshen@ scut. edu. cn
更新日期/Last Update: 2013-05-05