Daomin Cao is a professor at the Institute of Applied Mathematics, Chinese Academy of Sciences. His research focuses on nonlinear partial differential equations. He was awarded the first-class prize of Outstanding Young Scientists of Chinese Academy of Sciences. He is the editor of academic mathematical journals including Applicable Analysis, Annales Academiac Scientiarum Fennicae Mathematica, and Acta Mathematicae Applicatae Sinica.

1. Non-Compact Elliptic Problems; 2. Perturbation Methods; 3. Local Uniqueness of Solutions; 4. Construction of Infinitely Many Solutions; 5. A Compactness Theorem and Application; 6. The Appendix.