Download or read book Classification and Probabilistic Representation of the Positive Solutions of a Semilinear Elliptic Equation written by Benoît Mselati and published by American Mathematical Society(RI). This book was released on 2014-09-11 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: An analytic approach to the equation $\Delta u = u^2$ A probabilistic approach to the equation $\Delta u = u^2$ Lower bounds for solutions Upper bounds for solutions The classification and representation of the solutions of $\Delta u = u^2$ in a domain Appendix A. Technical results Appendix. Bibliography Notation index Subject index.