On the existence of sign changing bound state solutions of a quasilinear equation

Carmen Cortázar, Marta Garcia-Huidobro, Cecilia Yarur

In this paper we establish the existence of bound state solutions of any given order to $${\Delta }_{m}u+f(u)=0,x\in R^N,N\ge m>1,(P)$$ where $Δ_m u=\nabla\cdot(|\nabla u|^{m-2}\nabla…