博碩士論文 92241002 完整後設資料紀錄

DC 欄位 語言
DC.contributor數學系zh_TW
DC.creator陳志有zh_TW
DC.creatorZhi-you Chenen_US
dc.date.accessioned2008-7-1T07:39:07Z
dc.date.available2008-7-1T07:39:07Z
dc.date.issued2008
dc.identifier.urihttp://ir.lib.ncu.edu.tw:444/thesis/view_etd.asp?URN=92241002
dc.contributor.department數學系zh_TW
DC.description國立中央大學zh_TW
DC.descriptionNational Central Universityen_US
dc.description.abstract在本篇文章中,我們將探討橢圓方程和橢圓系統中解的存在性、唯一性及結構性等問題。首先,在橢圓方程中,我們將利用特徵方程來了解某些奇異解的存在性和唯一性, 接者再使用 Pohozeaev function 和 Energy function 來了解其他所有解的存在性和結構性。 然而在橢圓系統中, 我們將透過線性化方程來學解的結構性,進一步結合隱函數定理來證明某些解的唯一性。zh_TW
dc.description.abstractIn this article, we consider problems involving the existence, uniqueness, and structure of solutions for (single) elliptic equations and (coupled) elliptic systems. To deal with the elliptic equations, we first employ the characteristic equations to realize the existence and uniqueness of certain singular solutions. Then, specific auxiliary functions, Pohozaev functions and energy functions, will be introduced to conduct the uniqueness for solutions of other types and clarify the complete structure of solutions. On the other hand, for the elliptic systems, we analyze the structure of solutions by means of the corresponding linearized equations. Furthermore, combining the Implicit Function Theorem, the consequences related to the uniqueness of some solutions will be offered as well.en_US
DC.subject非線性橢圓方程及系統中解的唯一性和結構性之探討zh_TW
DC.subjectUniqueness and Structure of Solutions for Nonlinen_US
DC.title非線性橢圓方程及系統中解的唯一性和結構性之探討zh_TW
dc.language.isozh-TWzh-TW
DC.titleUniqueness and Structure of Solutions for Nonlinear Elliptic Equations and Systemsen_US
DC.type博碩士論文zh_TW
DC.typethesisen_US
DC.publisherNational Central Universityen_US

若有論文相關問題,請聯絡國立中央大學圖書館推廣服務組 TEL:(03)422-7151轉57407,或E-mail聯絡  - 隱私權政策聲明