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    題名: 二階橢圓型偏微分方程式解的不存在性之研究
    On nonexistence of second order elliptic partial differentail equations
    作者: 吳水利
    WU, SHUI-LI
    貢獻者: 蔡隆義
    CAI, LONG-YI
    吳水利
    WU, SHUI-LI
    關鍵詞: 不存在性
    正放射性解
    微分方程式
    NONEXISTENCE
    PARTIAL DIFFERENTAIL EQUATION
    日期: 1992
    1991
    上傳時間: 2016-05-02 17:07:11 (UTC+8)
    摘要: 本文主要在考慮某類二階橢圓型偏微分方程式解的不存在問題,共分為三部分。
    1. Part I: On Nonexistence Results for Some Integro-differential Equations of Elliptic Type 1-1
    Section 1: Introduction 1-2
    Section 2: Some Nonexistence Results for the Positive Solutions 1-4
    Section 3: Some Nonexistence Results for the Bounded Solutions 1-40
    2. Part II: On Nonexistence Results for Some Quasilinear Equations of Elliptic Type
    Section 1: Introduction 2-1
    Section 2: Some Nonexistence REsults for Quasilinear Eilliptic Equations 2-2
    Section 3: Nonexistence Results for Integro-Differential Equation 2-17
    3. Part III: On Nonexistence Results of the Quasilinear Elliptic Equations 3-1
    Section 1: Introduction 3-2
    Section 2: A More Generalized Pohozeav Inequality 3-3
    Section 3: Applications 3-5
    Section 4: The Nonexistence of Radial Solution 3-9
    4. References 4-1
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    △u=(x) u in R2 ,Proc. Amer. Math. Soc. 93( 1985) , 73 - 78 .
    [KN] . Kusano T., Naito M. and Swanson C. A. , Radial entire solution to even order semilinear elliptic equations in the plane, Proc. Roy. Soc. Edingburgh Sect. A 105(1987),275-287.
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    with application to a parabolic initial value problem , Indiana Univ. Math. J . 34(1985) , 85-95.
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    elliptic equations , Canada. J. Math. 40( 1988) , 1281 - 1300 .
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    [L] . Lin F. -H. , On the elliptic equation Di[aij(X) DjU]-K(x)UP = 0, Proc. Amer. Soc.
    95(1985) , 219-226 .
    [LN]. Li Yi and Ni Wei - Ming, On the existence and symmetry properties of finite total mass solutions of the Matukuma equations , the eddington equation and their generalizations , Arch. Rational Mech. Anal. 108(1989),175 - 194.
    [M]. McOwen R. , On the equation △u + K(x) e2u= f and prescribed negative curvature in R2, J. Math. Anal. Appl. , 103(1984) , 365-370 .
    [Mc]. McOwen R. , Conformal metric in [R2 with prescribed Gaussian curvature and positive total curvature , Indiana Univ. Math. J. , 34(1985) , 97-104 .
    [N]. Ni W. -M. , On the elliptic equation △u=K(x)u n-2分之n+2 = 0 ,its generalizations and applications in geometry, Indian. Univ. Math. J . 31 (1982) ,493-529 .
    [Ni]. Ni W. -M. , On the elliptic equation △u + K(x) e2u = 0 and conformal metrics with prescribed Gassian curvatures , Invent. Math. , 66(1982) , 343 - 352 .
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    描述: 碩士
    國立政治大學
    應用數學系
    資料來源: http://thesis.lib.nccu.edu.tw/record/#B2002004731
    資料類型: thesis
    顯示於類別:[應用數學系] 學位論文

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