Existence of Nontrivial Solutions for Periodic Schrödinger Equations with New Nonlinearities
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study the Schrödinger equation: - Δ u + V x u + f x , u = 0 , u ∈ H 1 ( R N ) , where V is 1 -periodic and f is 1 -periodic in the x -variables; 0 is in a gap of the spectrum of the operator - Δ + V .
We prove that, under some new assumptions for f , this equation has a nontrivial solution.
Our assumptions for the nonlinearity f are very weak and greatly different from the known assumptions in the literature.
American Psychological Association (APA)
Chen, Shaowei& Zhang, Dawei. 2014. Existence of Nontrivial Solutions for Periodic Schrödinger Equations with New Nonlinearities. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014192
Modern Language Association (MLA)
Chen, Shaowei& Zhang, Dawei. Existence of Nontrivial Solutions for Periodic Schrödinger Equations with New Nonlinearities. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014192
American Medical Association (AMA)
Chen, Shaowei& Zhang, Dawei. Existence of Nontrivial Solutions for Periodic Schrödinger Equations with New Nonlinearities. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014192
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014192