On radial solutions of semilinear elliptic equations with a gradient term 勾配項を含む半線形楕円型方程式の球対称解について
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Bibliographic Information
- Title
-
On radial solutions of semilinear elliptic equations with a gradient term
- Other Title
-
勾配項を含む半線形楕円型方程式の球対称解について
- Author
-
廣瀬, 宗光
- Author(Another name)
-
ヒロセ, ムネミツ
- University
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早稲田大学
- Types of degree
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博士(理学)
- Grant ID
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甲第1293号
- Degree year
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1998-10-15
Note and Description
博士論文
制度:新 ; 文部省報告番号:甲1293号 ; 学位の種類:博士(理学) ; 授与年月日:1998-10-15 ; 早大学位記番号:新2682 ; 理工学図書館請求番号:2263
Table of Contents
- Contents / p3 (0004.jp2)
- 1 Problems and Results / p4 (0005.jp2)
- 2 Preliminary Results / p20 (0021.jp2)
- 3 Positive Solutions / p27 (0028.jp2)
- 3.1 Structure of Positive Solutions to (IVP) with λ>0 / p27 (0028.jp2)
- 3.2 Proof of Lemma 3.3 for Subcritical p / p31 (0032.jp2)
- 3.3 Proof of Lemma 3.3 for Supercritical p / p37 (0038.jp2)
- 3.4 Proof of Lemma 3.5 / p48 (0049.jp2)
- 3.5 Structure of Positive Solutions to (IVP) with λ= 0 / p52 (0053.jp2)
- 4 Sign-Changing Solutions / p55 (0056.jp2)
- 4.1 Sign-Changing Solutions to (IVP) for Sufficiently Small Initial Values / p55 (0056.jp2)
- 4.2 Structure of Sign-Changing Solutions to (IVP)p / p67 (0068.jp2)
- 5 The Classification Theorem / p72 (0073.jp2)
- 5.1 Preliminaries / p72 (0073.jp2)
- 5.2 Criterions for Positive Solutions / p80 (0081.jp2)
- 5.3 Proof of the Classification Theorem / p80 (0081.jp2)
- 5.4 Proofs of Theorems 5.2, 5.3 and 5.4 / p87 (0088.jp2)
- 5.5 Proofs of Theorems 5.1, 5.5 and 5.6 / p91 (0092.jp2)
- References / p97 (0098.jp2)
- List of Original Papers / p100 (0101.jp2)
