# The Lin-Ni’s Problem for Mean Convex Domains

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*Olivier Druet; Frédéric Robert; Juncheng Wei*

#### Table of Contents

# Table of Contents

## The Lin-Ni's Problem for Mean Convex Domains

- Introduction 18 free
- Chapter 1. L-bounded solutions 512 free
- Chapter 2. Smooth domains and extensions of solutions to elliptic equations 714
- Chapter 3. Exhaustion of the concentration points 1118
- Chapter 4. A first upper-estimate 1926
- Chapter 5. A sharp upper-estimate 2734
- Chapter 6. Asymptotic estimates in C1() 4350
- Chapter 7. Convergence to singular harmonic functions 4552
- Chapter 8. Estimates of the interior blow-up rates 5764
- Chapter 9. Estimates of the boundary blow-up rates 6976
- Chapter 10. Proof of Theorems 1 and 2 8188
- Appendix A. Construction and estimates on the Green's function 8390
- Appendix B. Projection of the test functions 97104
- Bibliography 103110