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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
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.