TITLE:
Existence of Ordered Solutions to Quasilinear Schrödinger Equations with General Nonlinear Term
AUTHORS:
Jia Wu, Gao Jia
KEYWORDS:
Quasilinear Schrödinger Equations, Ordered Solutions, Mountain Pass Lemma, (PS) Sequence
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.4,
April
24,
2018
ABSTRACT: In this paper, the existence
of a pair of ordered solutions for the following class of equations in (1)was studied. A bounded (PS) (Palais-Smale) sequence
was constructed and the related variational principle was used to prove the existence
of the positive solution. The existence of the ordered solutions is finally found.