artículo
On the uniqueness of sign changing bound state solutions of a semilinear equation
Fecha
2011Registro en:
10.1016/j.anihpc.2011.04.002
0294-1449
WOS:000293995100008
Autor
Cortazar, Carmen
Garcia Huidobro, Marta
Yarur, Cecilia S.
Institución
Resumen
We establish the uniqueness of the higher radial bound state solutions of Delta u + f(u) = 0. x is an element of R". We assume that the nonlinearity f is an element of C(-infinity. infinity) is an odd function satisfying some convexity and growth conditions, and has one zero at b > O. is nonpositive and not-identically 0 in (0. b). positive in [b. infinity). and is differentiable in (0. infinity). (C) 2011 Elsevier Masson SAS. All rights reserved.