Existence of Multiple Positive Solutions for Choquard Equation with Perturbation
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is concerned with the following Choquard equation with perturbation: - Δ u + V ( x ) u = ( 1 / | x | α ∗ | u | p ) | u | p - 2 u + g ( x ) , u ∈ H 1 ( R N ) , where N ≥ 3 , α ∈ ( 0 , N ) , and 2 - ( α / N ) < p < ( 2 N - α ) / ( N - 2 ) .
This kind of equations is well known as the Choquard or nonlinear Schrödinger-Newton equation.
Under some assumptions for the functions V ( x ) , we prove the existence of multiple positive solutions of the equation.
Moreover, we also show that these results still hold for more generalized Choquard equation with perturbation.
American Psychological Association (APA)
Xie, Tao& Xiao, Lu& Wang, Jun. 2015. Existence of Multiple Positive Solutions for Choquard Equation with Perturbation. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1053021
Modern Language Association (MLA)
Xie, Tao…[et al.]. Existence of Multiple Positive Solutions for Choquard Equation with Perturbation. Advances in Mathematical Physics No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1053021
American Medical Association (AMA)
Xie, Tao& Xiao, Lu& Wang, Jun. Existence of Multiple Positive Solutions for Choquard Equation with Perturbation. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1053021
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053021