| Abstract (in English) | 第1-6页 |
| Abstract (in French ) | 第6-7页 |
| Abstract (in Chinese) | 第7-10页 |
| Introduction | 第10-18页 |
| Chapter 0 Notations and preliminaries | 第18-21页 |
| Chapter 1 Bubble towers for supercritical elliptic equations for N ≥ 4 | 第21-75页 |
| ·Introduction | 第21-22页 |
| ·Statement of result | 第22-24页 |
| ·Applications and comments of theorem 1.1 | 第24-25页 |
| ·Positive radial solutions of Δu + u~p = 0 in R~N | 第25-35页 |
| ·A linear result | 第35-41页 |
| ·Radial solutions of Δu + λu + ?u?~(p-1) u = 0 in the unit ball | 第41-49页 |
| ·The linear analysis | 第49-55页 |
| ·Bubble tree solutions in general domains | 第55-64页 |
| ·A example of existence of bubble-tower solutions | 第64-75页 |
| Chapter 2 Bubble tower solutions for supercritical elliptic equations for N = 3 | 第75-94页 |
| ·Statement of result | 第75-79页 |
| ·A global linear analysis | 第79-84页 |
| ·Proof of theorem 2.1 | 第84-94页 |
| Chapter 3 Bubble tower solutions of slightly supercritical elliptic equations and application in symmetric domains (85 | 第94-112页 |
| ·Introduction | 第94-95页 |
| ·Main result | 第95-97页 |
| ·Several applications and comments | 第97-104页 |
| ·Proof of theorem 3.1 | 第104-112页 |
| Reference | 第112-117页 |
| Acknowledgements | 第117-119页 |
| Publications and preprints | 第119页 |
