Existence of Ordered Solutions to Quasilinear Schrödinger Equations with General Nonlinear Term - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.4, April 2018

Existence of Ordered Solutions to Quasilinear Schrödinger Equations with General Nonlinear Term ()

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DOI: 10.4236/jamp.2018.64068 671 Downloads 1,168 Views

Author(s)

Jia Wu, Gao Jia

Affiliation(s)

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

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.

KEYWORDS

Quasilinear Schrödinger Equations, Ordered Solutions, Mountain Pass Lemma, (PS) Sequence

Share and Cite:

Wu, J. and Jia, G. (2018) Existence of Ordered Solutions to Quasilinear Schrödinger Equations with General Nonlinear Term. Journal of Applied Mathematics and Physics, 6, 770-786. doi: 10.4236/jamp.2018.64068.

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