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Indexed by:期刊论文

Date of Publication:2017-09-01

Journal:COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Included Journals:SCIE

Volume:16

Issue:5

Page Number:1603-1615

ISSN No.:1534-0392

Abstract: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.