EXISTENCE OF SOLUTIONS FOR NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS 被引量：2

EXISTENCE OF SOLUTIONS FOR NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

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摘要 Hilbert space method is applied to a class of semilinear second_order elliptic boundary value problems and the existence of solutions is obtained with some restrictions. Hilbert space method is applied to a class of semilinear second_order elliptic boundary value problems and the existence of solutions is obtained with some restrictions.

作者邵荣牛欣沈祖和

机构地区 Department of Mathematics Depaament of Mathematics

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第1期99-108,共10页 应用数学和力学（英文版）

基金安徽省教育厅科研项目

关键词 Hilbert space coercivity condition COMPACT imbedding mapping elliptic equation Hilbert space coercivity condition compact imbedding mapping elliptic equation

分类号 O175.25 [理学—基础数学] O177.1 [理学—基础数学]

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参考文献6

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引证文献2

1韦忠礼,庞常词.2n阶两点边值问题的多重非平凡解[J].数学学报（中文版）,2007,50(2):347-356. 被引量：1
2徐美松,宋静华,么焕民.求一类四阶奇异边值问题的数值解[J].哈尔滨师范大学自然科学学报,2010,26(6):13-15.

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1徐家发,杨志林.n阶非线性常微分方程组边值问题的正解[J].系统科学与数学,2010,30(5):633-641. 被引量：3

1安桂梅,侯志彬.L_p空间之间的1-局部可补嵌入映射(英文)[J].南开大学学报（自然科学版）,2005,38(5):87-92.
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3Gao, JB,Yang, YD,Shih, TM.THE DEFECT ITERATION OF THE FINITE ELEMENT FOR ELLIPTIC BOUNDARY VALUE PROBLEMS AND PETROV-GALERKIN APPROXIMATION[J].Journal of Computational Mathematics,1998,16(2):152-164. 被引量：4
4王万义,孙炯,郑志明.加权Sobolev空间中的Poincaré不等式[J].应用数学和力学,2006,27(1):112-118. 被引量：4
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10LIU Zhen hai (Department of Mathematics, Changsha University of Electric Power, Changsha 410077, China).QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS WITH DISCONTINUOUS NONLINEARITIES[J].Systems Science and Mathematical Sciences,2000,13(1):85-91.

Applied Mathematics and Mechanics(English Edition)

2003年第1期

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EXISTENCE OF SOLUTIONS FOR NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS 被引量：2

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