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单位球上一类奇异椭圆Dirichlet问题的正径向解的存在性

Existence of Positive Radial Solutions to a Class of Singular Elliptic Dirichlet Problems in the Unit Ball
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摘要 利用单调迭代方法,获得了单位球上一类奇异椭圆Dirichlet问题的正径向解的存在性,其中非线性项为幂函数与指数函数的乘积. The existence of positive radial solution is obtained for a class of singular elliptic Dirichlet problem in the unit ball by monotone iterative technique,here the nonlinear term is a product of power function and exponential function.
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第5期831-834,共4页 Journal of Sichuan University(Natural Science Edition)
关键词 单位球上的椭圆Dirichlet问题 正径向解 存在性 单调迭代方法 elliptic Dirichlet problem in the unit ball positive radial solution existence monotone iterative technique
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  • 1钟承奎 范先令.非线性泛函分析引论[M].兰州:兰州大学出版社,1988..
  • 2[6]Fink A M,Gatica J A,Hernandez G E.Eigenvalue of generalized Gelfand models[J].Nonlinear Anal,1993,20(12):1453-1468.
  • 3[7]WANG Hai-yan.On the existence of positive solution for semilinear elliptic equations in annulus[J].J Differential Equations,1994,109(1):1-7.
  • 4[8]Henderson J,WANG Hai-yan.Positive solutions for nonlinear eigenvalue problems[J].J Math Anal Appl,1997,208(1):252-259.
  • 5[9]Hai D D.Positive solutions to a class of elliptic boundary value problems[J].J Math Anal Appl,1998,227(1):195-199.
  • 6[10]Cac N P,Gatica J A,LI Yi.Positive solutions to semilinear problems with coefficient that changes sign[J].Nonlinear Anal,1999,37(4):501-520.
  • 7[1]Gelfand I M.Some problems in the theory of quasilinear equations[J].Uspehi Mat Nauk,1959,14(1):87-158.
  • 8[2]Parter S.Solutions of differential equations arising in chemical reactor processes[J].SIAM J Appl Math,1974,26(3):687-716.
  • 9[3]Bebernes J W,Kassoy D R.A mathematical analysis of blowup for thermal reactions-the inhomogeneous case[J].SIAM J Appl Math,1981,40(2):476-484.
  • 10[4]Aronson D,Crandall M G,Peletier L A.Stabilization of solutions of a degenerate nonlinear diffusion problem[J].Nonlinear Anal,1982,6(10):1001-1022.

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