# Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation

Share this page
*Benoît Mselati*

#### Table of Contents

# Table of Contents

## Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation

- Contents v6 free
- Introduction and statement of the results vii8 free
- Chapter 1. An analytic approach to the equation Δu = u[sup(2)] 118 free
- Chapter 2. A probabilistic approach to the equation Δu = u[sup(2)] 1734
- Chapter 3. Lower bounds for solutions 4966
- Chapter 4. Upper bounds for solutions 85102
- Chapter 5. The classification and representation of the solutions of Δu = u[sup(2)] in a domain 99116
- Appendix A. Technical results 103120
- Appendix. Bibliography 115132