Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-11-01

Journal: ADVANCED NONLINEAR STUDIES

Included Journals: SCIE

Volume: 14

Issue: 4

Page Number: 941-950

ISSN: 1536-1365

Key Words: Quasilinear Schrodinger equation; Ground state solution; Energy estimates

Abstract: In this paper we are concerned with the quasilinear Schrodinger equation
   -Delta u + V(x)u - Delta(u(2))u = q(x)vertical bar u vertical bar(p-2)u, x is an element of R-N,
   where N >= 3, 4 < p < 4N/(N - 2), and V(x) and q(x) go to some positive limits V-infinity and q(infinity) respectively as vertical bar x vertical bar -> infinity. Under a weak one-sided asymptotic estimate for V(x) and q(x) at infinity, we obtain the existence of a ground state solution.