This book introduces singularly perturbed methods in a self-contained manner by investigating two relatively simple but typical non-compact elliptic problems. Avoiding using too many sophisticated estimates, this book is written for PhD students and junior mathematicians who plan to do their research in the area of elliptic differential equations.
This book introduces singularly perturbed methods in a self-contained manner by investigating two relatively simple but typical non-compact elliptic problems. Avoiding using too many sophisticated estimates, this book is written for PhD students and junior mathematicians who plan to do their research in the area of elliptic differential equations.
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.
Inhaltsangabe
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.
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.
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