Article ID Journal Published Year Pages File Type
840143 Nonlinear Analysis: Theory, Methods & Applications 2013 11 Pages PDF
Abstract

We study the existence of sign-changing solutions for the quasilinear Schrödinger equation −△u+V(x)u−12u△u2=λ|u|p−1uinRN, with the restraint ∫RN|u|p+1dx=1∫RN|u|p+1dx=1, where λλ appears as a Lagrangian multiplier, 4≤p+1<4NN−2 and V=V(x),x∈RNV=V(x),x∈RN is a given potential.

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