artículo
On the uniqueness of the second bound state solution of a semilinear equation
Fecha
2009Registro en:
10.1016/j.anihpc.2009.01.004
1873-1430
0294-1449
WOS:000272561600003
Autor
Cortazar, Carmen
Garcia Huidobro, Marta
Yarur, Cecilia S.
Institución
Resumen
We establish the uniqueness of the second radial bound state solution of Delta u + f (u) = 0, x is an element of R-n. We assume that the nonlinearity f is an element of C(-infinity, infinity) is an odd function satisfying some convexity and growth conditions of superlinear type, and either has one zero at b > 0, is nonpositive and not identically 0 in (0, b), and is differentiable and positive [b, infinity), or is positive and differentiable in [0, infinity). (C) 2009 Elsevier Masson SAS. All rights reserved.