| Abstract | 第6页 |
| Chinese Abstract | 第8-9页 |
| Acknowledgements | 第9-13页 |
| Chapter 1 Introduction and the Main results | 第13-23页 |
| 1.1 The background and some known results of the related problems | 第14-18页 |
| 1.2 Some notations in this thesis | 第18-19页 |
| 1.3 The main results of this thesis | 第19-22页 |
| 1.4 The structure of this thesis | 第22-23页 |
| Chapter 2 Multi-Peak Positive Solutions of a Nonlinear Schrodinger-Poisson Type System in R~3 | 第23-51页 |
| 2.1 Introduction and Main result | 第24-26页 |
| 2.2 The finite reduction | 第26-46页 |
| 2.3 Proof of our main result | 第46-51页 |
| Chapter 3 Bubbling Solutions For The Grushin Critical Problem | 第51-82页 |
| 3.1 Introduction and Main results | 第52-57页 |
| 3.2 Existence of solutions with infinitely many bubbles | 第57-63页 |
| 3.2.1 Linearization and finite dimensional reduction | 第57-62页 |
| 3.2.2 Proof of the existence theorem | 第62-63页 |
| 3.3 Local Uniqueness and Periodicity | 第63-82页 |
| 3.3.1 Pohozaev type identities | 第63页 |
| 3.3.2 The bubbling solutions | 第63-71页 |
| 3.3.3 Local Uniqueness | 第71-82页 |
| Chapter 4 Appendix | 第82-107页 |
| 4.1 Some known results | 第83-84页 |
| 4.2 Some technical estimates for system(1.1) | 第84-89页 |
| 4.3 Energy expansion for system(1.1) | 第89-93页 |
| 4.4 Basic estimates for problem(1.8) | 第93-100页 |
| 4.5 Asymptotic energy expansion for problem (1.8) | 第100-103页 |
| 4.6 Estimate of the error term for problem(1.8) | 第103-107页 |
| Some further research | 第107-108页 |
| References | 第108-114页 |
| List of publications | 第114页 |
