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论文类型：期刊论文

发表时间：2017-09-01

发表刊物：COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

收录刊物：SCIE

文献类型：J

卷号：16

期号：5

页面范围：1603-1615

ISSN号：1534-0392

摘要：In this article we study the following quasilinear Schrodinger equation
   -Delta u + V (x)u - Delta(u(2)) u = g (u), x is an element of R-N,
   where V (x) tends to some limit V-infinity > 0 as vertical bar x vertical bar -> infinity and g is an element of C (R, R). We prove the existence of positive solutions by using the Nehari manifold.