The Existence and Uniqueness of Semilinear Elliptic Equation in the Annular Region

doi:10.11835/j.issn.1000-582X.1999.01.011

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The Existence and Uniqueness of Semilinear Elliptic Equation in the Annular Region
DOI:
                        10.11835/j.issn.1000-582X.1999.01.011
                    
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                        Tan Junyu Yu GuangleiTan Junyu Yu Guanglei

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Clc Number:O175.25
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Key words:elliptic equation,Dirichlet problem / semilinear,positive radial solution,existence and uniqueness,

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[1]Tan,Junyu,Yu,Guanglei.The Existence and Uniqueness of Semilinear Elliptic Equation in the Annular Region[J].Journal of Chongqing University(Natural Science Edition),1999,22(1):57-61.

[2]YAN De-bao.The Partial Existence and Uniqueness of Classical Solution to Initial Value Problem of a Semilinear Parabolic Equation[J].Journal of Changchun Teachers College,2007,26(1):6-7.

[3]GENG Jinbo.The existence and uniqueness of solution of Poisson equation in the model of plasma[J].Journal of Zhejiang Normal University Natural Sciences,2012(1):1-4.

[4]XIAO Cui-e.The Existence and Uniqueness of Weak Solution for a Second Order Quasi-linear Elliptic Equation[J].Journal of Hunan City University:Natural Science,2008,17(4).

[5]CHEN Yutong and WEI Gongming.Existence and Uniqueness of Solutions for the p-Laplace Equation Dirichlet Problem with Singular Nonlinear Term[J].Journal of University of Shanghai For Science and Technology,2015,37(4):311-316.

[6]崔宝同,夏大峰.Existence and uniqueness of anaiytic solution of the functional differential equation[J].Journal of Fuyang Teachers College:Natural Science,1989(2).

[7]WANG,Shi,xiang,MA,Qiu,hong.Existence of singular positive radial solution to a class of semilinear elliptic equation[J].Journal of Changchun University,2000,10(4):16-18.

[8]杨志林.Existence and uniqueness of the solution to the boundary value problem for a quasi-linear elliptic equation[J].Journal of Hefei University of Technology(Natural Science),2002,25(6):1180-1183.

[9]WU Xiu-lan,ZENG You-dong.The Existence and Uniqueness of the Global Solutions for a Class Semilinear Pseudoparabolic Equation[J].Journal of Guizhou University(Natural Science),2014,31(4):14-17.

[10]Yang Jun Xiong Hui Shen Yao-tian.Existence of the Nontrival Solution for a Semilinear Elliptic Equation in RN[J].Journal of South China University of Technology(Natural Science Edition),2003,31(4):74-77.

[11]Zhang Quande.Existence and uniqueness of global solution to cauchy problem of nonlinear wave equation[J].Journal of Shaanxi Normal University: Nat Sci Ed,1992(4).

[12]WEI Li,HOU Wen-yu.Existence and Uniqueness of the Solution to Dirichlet Boundary Value Problem Involving the Elliptic Operator[J].Journal of Hebei Normal University,2004,28(4):341-343,360.

[13]WANG Xuan.Existence and uniqueness of the solution of terminal value problem for first-order ordinary differential equation in Banach space[J].Journal of Northwest Normal University Natural Science (Bimonthly),2003,39(1):11-15,23.

[14]JIANG Peng,MAO Yao.Existence and uniqueness for the Dirichlet problem of the Helmholtz equation on domain with corners[J].Journal of Central China Normal University(Natural Sciences),2006,40(3):320-324.

[15]KONG Lihua,SHEN Zifei.The existence of positive solution for the quasilinear elliptic equation with perturbation parameter[J].Journal of Zhejiang Normal University Natural Sciences,2012(4):388-394.

[16]XU Xiao-xin,HANG Yue-liang,SANG Yan-bin.The existence and uniqueness of a monotone decreasing positive solution of a third-order two-point boundary value problem[J].Journal of Shandong University,2008,43(12):84-87.

[17]WANG Guang,hui.The existence and uniqueness of positive solutions to a class of nonlinear elliptic equations[J].Journal of Hefei University of Technology(Natural Science),2001,24(3):416-419.

[18]WANG Yu,WEN Xue-bing.Existence and uniqueness of non-negative solution for semi-linear elliptic equations third boundary value problem[J].Journal of Shenyang Normal University(Natural Science Edition),2011,29(4):490-494.

[19]GAO Ting-mei.Existence of the nontrivial solution for a class of semilinear elliptic problem[J].Journal of Shananxi University of Technology(Natural Science Edition),2014(2):57-61.

[20]ZHOU Ze-wen,ZHANG Zheng-jie.The existence of a nontrivial solution for a semilinear elliptic equation[J].Journal of Central China Normal University(Natural Sciences),2003,37(4):453-456.

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谈骏渝于光磊.半线性椭圆方程在环域中径向正解的存在唯一性[J].重庆大学学报,1999,22(1):57~61

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