An Existence Result for a Generalized Quasilinear Schrödinger Equation with Nonlocal Term
Joint Authors
Teng, Kaimin
Li, Quanqing
Nie, Jianjun
Zhang, Jian
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-06
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
In this paper, we consider the following generalized quasilinear Schrödinger equation with nonlocal term −divg2u∇u+gug′u∇u2+Vxu=λx−μ∗upup−2u,x∈ℝN, where N≥3, g:ℝ→ℝ+ is a C1 even function, g0=1, g′s≥0 is for all s≥0, lim∣s∣→+∞gs/sα−1≔β>0 is for some α>1, and α−1gs≥g′ss is for all s≥0, 2α≤p≤2αN−μ/N−2, and 0<μ We prove that the equation admits a solution by using a constrained minimization argument.
American Psychological Association (APA)
Li, Quanqing& Teng, Kaimin& Zhang, Jian& Nie, Jianjun. 2020. An Existence Result for a Generalized Quasilinear Schrödinger Equation with Nonlocal Term. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185627
Modern Language Association (MLA)
Li, Quanqing…[et al.]. An Existence Result for a Generalized Quasilinear Schrödinger Equation with Nonlocal Term. Journal of Function Spaces No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1185627
American Medical Association (AMA)
Li, Quanqing& Teng, Kaimin& Zhang, Jian& Nie, Jianjun. An Existence Result for a Generalized Quasilinear Schrödinger Equation with Nonlocal Term. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185627
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185627