The Existence of Positive Solution of a Nonlinear Problem on Unit Circle

Joint Authors

Wei, Na
Zhou, Yanli
Ge, Xiangyu

Source

Journal of Function Spaces

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

Mathematics

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