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

Carmen Cortazar, Marta Garcia-Huidobro, Cecilia Yarur

We establish the uniqueness of the higher radial bound state solutions of $$ Δu +f(u)=0,\quad x\in \RR^n. \leqno(P) $$ We assume that the nonlinearity $f\in C(-\infty ,\infty )$ is a…