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研究生:余彩璃
研究生(外文):Tasi-Li Yu
論文名稱:P-Laplacian邊界爆炸值問題分歧曲線漸進行為之研究
論文名稱(外文):Asymptotic Behaviors of the Bifurcation Curve for a P-Laplacian Boundary Blow-up Problem
指導教授:王信華
指導教授(外文):Shin-Hwa Wang
學位類別:碩士
校院名稱:國立清華大學
系所名稱:數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:英文
論文頁數:28
中文關鍵詞:漸進行為分歧曲線邊界爆炸值問題非負解變號解
外文關鍵詞:asymptotic behaviorbifurcation curvep-Laplacianboundary blow-up problemnonnegative solutionsign-changing solution
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當f 在正負無線大.正負零時,近似於負u絕對值的a次方,則在正負無線大.正負零時分歧曲線漸進行為為何?

We study asymptotic behaviors of the bifurcation curve of (sign-changing and nonnegative) solutions of the boundary blow-up problem.
We also assume that f is asymptotically of the form -|u|^a when u is infinity or -infinity or +0 or -0.

1.Introduction 2
2.Main Results 6
3.Proofs of Main Results 10
4.A Remark 23
5.Appendix 26
References 23

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di¤erential equations with boundary blow-up, Nonlinear Analysis 28 (1997), 1213-1225.
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[14] H. Rademacher, Einige besondere probleme partieller Di¤erentialgleichungen, in Die
Di¤erential-und Integralgleichungen, der Mechanik und Physik I, 2nd edition, pp. 838-845,
Rosenberg, New York, 1943.
[15] J. B. Seaborn, Hypergeometric Functions and Their Applications, Springer-Verlag, New York,
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point boundary value problems, Nonlinear Analysis 42 (2000), 139-162.
[17] S.-H. Wang, Y.-T. Liu and I-An. Cho, An explicit formula of the bifurcation curve for
boundary blow-up problem, to appear in Dynamics of Continuous and Discrete and Impulsive
Systems.

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