The Existence of Positive Solution of a Nonlinear Problem on Unit Circle
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-28
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We consider the following nonlinear problem u″x+λux+fx,u=0, x∈S1, (P) where S1 is a unit circle, λ∈ℝ is a parameter, and fx,u is a nonlinearity.
By using the variational method, we obtain the existence of a positive solution to (P) for all λ∈ℝ.
This phenomenon is different from the corresponding boundary value problem.
American Psychological Association (APA)
Wei, Na& Zhou, Yanli& Ge, Xiangyu. 2020. The Existence of Positive Solution of a Nonlinear Problem on Unit Circle. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185465
Modern Language Association (MLA)
Wei, Na…[et al.]. The Existence of Positive Solution of a Nonlinear Problem on Unit Circle. Journal of Function Spaces No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1185465
American Medical Association (AMA)
Wei, Na& Zhou, Yanli& Ge, Xiangyu. The Existence of Positive Solution of a Nonlinear Problem on Unit Circle. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1185465
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185465