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论文类型：期刊论文
发表时间：2019-01-01
发表刊物：COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
收录刊物：SCIE
卷号：18
期号：1
页面范围：51-64
ISSN号：1534-0392
关键字：Quasilinear Schrodinger equation; positive solution; asymptotically cubic; Nehari manifold
摘要：We consider the following quasilinear Schrodinger equation
   -Delta u + V(x)u - Delta(u(2))u = q(x)g(u), x is an element of R-N,R-
   where N >= 1, 0 < q(x) <= lim(vertical bar x vertical bar ->infinity) q(x), g is an element of C (R+, R) and g(u)/u(3)-> 1, as u ->infinity. We establish the existence of a positive solution to this problem by using the method developed in Szulkin and Weth [27, 28].