Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840143 | Nonlinear Analysis: Theory, Methods & Applications | 2013 | 11 Pages |
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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Authors
Ming Xiong, Xiangqing Liu,