Existence of Nontrivial Solutions for Generalized Quasilinear Schrödinger Equations with Critical Growth
Joint Authors
Teng, Kaimin
Li, Quanqing
Wu, Xian
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-03
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the following generalized quasilinear Schrödinger equations with critical growth -divg2u∇u+gug′u∇u|2+Vxu=λfx,u+guGu|2⁎-2Gu,x∈RN, where λ>0, N≥3, g(s):R→R+ is a C1 even function, g(0)=1, and g′(s)≥0 for all s≥0, where G(u)≔∫0ug(t)dt.
Under some suitable conditions, we prove that the equation has a nontrivial solution by variational method.
American Psychological Association (APA)
Li, Quanqing& Teng, Kaimin& Wu, Xian. 2018. Existence of Nontrivial Solutions for Generalized Quasilinear Schrödinger Equations with Critical Growth. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1119134
Modern Language Association (MLA)
Li, Quanqing…[et al.]. Existence of Nontrivial Solutions for Generalized Quasilinear Schrödinger Equations with Critical Growth. Advances in Mathematical Physics No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1119134
American Medical Association (AMA)
Li, Quanqing& Teng, Kaimin& Wu, Xian. Existence of Nontrivial Solutions for Generalized Quasilinear Schrödinger Equations with Critical Growth. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1119134
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119134
