Article ID Journal Published Year Pages File Type
8053910 Applied Mathematics Letters 2018 9 Pages PDF
Abstract
In this paper, we study the following quasilinear Schrödinger equation −Δu+u−Δ(u2)u=h(u),x∈RN,where N≥3, 2∗=2NN−2, h is a continuous function. By using a change of variable, we obtain the existence of ground state solutions. Unlike the condition lim|u|→∞∫0uh(s)ds|u|4=∞, we only need to assume that lim|u|→∞∫0uh(s)ds|u|2=∞.
Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
Authors
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