| 摘要 | 第6-7页 |
| Abstract | 第7页 |
| Prefaces | 第8-19页 |
| Chapter 1 The properties for the solutions to a class of the overdeterminedequations on bounded domain | 第19-42页 |
| 1.1 main results | 第19-20页 |
| 1.2 proof of Theorem 1.1.1 and Theorem 1.1.2 | 第20-29页 |
| 1.3 Green's function on a ball | 第29-34页 |
| 1.4 Proof of Theorem 1.1.3 | 第34-42页 |
| Chapter 2 The properties for the solutions to a class of the system of non-linear partial differential equations on exterior domain | 第42-57页 |
| 2.1 Main results | 第42-43页 |
| 2.2 Proof of Theorem 2.1.1 | 第43-45页 |
| 2.3 Proof of Theorem 2.1.2 | 第45-56页 |
| 2.4 Proof of theorem 2.1.3 | 第56-57页 |
| Chapter 3 The Liouville type theorem for a class of system of nonlinearpartial differential equations on exterior domain | 第57-70页 |
| 3.1 Main results | 第57页 |
| 3.2 Preliminary lemmas | 第57-69页 |
| 3.3 Proofs of Theorem 3.1.1 | 第69-70页 |
| Chapter 4 Liouville theorems for a system of fractional Laplacian equa-tion | 第70-97页 |
| 4.1 Main results | 第70-71页 |
| 4.2 Proof of Theorem 4.1.1 | 第71-76页 |
| 4.3 Proof of Theorem 4.1.2 | 第76-91页 |
| 4.4 Proof of theorem 4.1.3 | 第91-97页 |
| Bibliography | 第97-100页 |
| Acknowledgements | 第100-102页 |
| Further researches | 第102-103页 |
| Publications or Accepted Papers | 第103页 |
