臺灣博碩士論文加值系統

在這篇論文中我們主要探討Biharmonic Equation and
Polyharmonic Equation 在有限區間解的行為就能Blow-up 。
在第一章節中我們以介紹的方式瞭解現今數學家對此方程式中
的探討跟瞭解並且給予正確的定義和主要定理的敘述，在第二章節裡
我給予Lemmas 做先前的預備知識，在第三章節中我給予定理完整的
證明，而在最後一個章節中列出相關文獻提供各位讀者參考。

In he paper we are consider for Biharmonic Equations and Polyharmonic Equation in the finite interval will Blow-up.
In the chapter 1 we are introduce the main theorem and to definition equation.
In the chapter we give some Lemmas in order to proofs theorems 1.1 and 1.2
In the chapter 3 we proofs of theorem 1.1 and 1.2,and the last chapter we give the references

CONTENTS
1. INTRODUCTION……………………………………………2~5
2. PRELIMINARIES……………………………………………5~13
3. MAIN THEOREM……………………………………………13~18
REFERENCE……………………………………………………………18~19

References
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[3]W-M.Ni, On the elliptic equation 4u + K(x)e2u = 0 and conformal met-
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[4]T.Kusano and S. Oharu, Bounded entire solutions of second order semi-
linear elliptic equation with application to a parabolic intial value problem,
Indiana Univ. Math. J. 34 (1985) 85-95.
[5]W-M.Ni, On the elliptic equation 4u+K(x)u
n¡2
n+2 = 0, its generalizations,
and applications in geometry, Indiana Univ. Math. J. 31 (1982), 493-529.
[6]R.McOwen,On the equation 4u + K(x)e2u = f and prescribed negative
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