Release Time:2019-10-22  Hits:

Indexed by: Journal Article

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: 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.