Abstract
In this thesis, we study the Palais Smale theory and define the index of domains. Then we study the indexes of transformed domains. We then apply our theory to assert the existence of solutions of semilinear elliptic equations.
- Title
- Domain Transformations and Indexes of Domains
- Translated title
- Domain Transformations and Indexes of Domains
- Creators
- Ying-fong Hwang
- Contributors
- Hwai-Chiuan Wang (Advisor)
- Awarding Institution
- 國立清華大學, 數學系; Masters
- Theses and Dissertations
- Masters, 國立清華大學, 數學系
- Language
- English
- Resource Type
- Thesis
- Date published
- 2004