On the uniqueness of sign changing bound state solutions of a semilinear equation

Cortázar, Carmen ; García-Huidobro, Marta ; Yarur, Cecilia S.

Annales de l'I.H.P. Analyse non linéaire, Tome 28 (2011), p. 599-621 / Harvested from Numdam

Résumé

We establish the uniqueness of the higher radial bound state solutions of Δu+f(u)=0,x∈ℝ n .(P) We assume that the nonlinearity $ f\in C(-\infty ,\infty )$ is an odd function satisfying some convexity and growth conditions, and has one zero at $ b>0$, is nonpositive and not-identically 0 in $ (0,b)$, positive in $ [b,\infty )$, and is differentiable in $ (0,\infty )$.

Détail

Publié le : 2011-01-01

Zbl 1236.35056

DOI : https://doi.org/10.1016/j.anihpc.2011.04.002

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