TY - BOOK AU - Mselati,Beno�it TI - Classification and probabilistic representation of the positive solutions of a semilinear elliptic equation T2 - Memoirs of the American Mathematical Society, SN - 9781470403966 (online) AV - QA3 .A57 no. 798 U1 - 510 s515/.353 22 PY - 2004/// CY - Providence, R.I. PB - American Mathematical Society KW - Differential equations, Elliptic N1 - "Volume 168, number 798 (third of 4 numbers)."; Includes bibliographical references (p. 115-117) and indexes; 1. An analytic approach to the equation $\Delta u = u^2$; 2. A probabilistic approach to the equation $\Delta u = u^2$; 3. Lower bounds for solutions; 4. Upper bounds for solutions; 5. The classification and representation of the solutions of $\Delta u = u^2$ in a domain; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0798 UR - http://dx.doi.org/10.1090/memo/0798 ER -