Existence of Positive Bounded Solutions of Semilinear Elliptic Problems
Author
Source
International Journal of Differential Equations
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-11-29
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper is concerned with the existence of bounded positive solution for the semilinear elliptic problem Δu=λp(x)f(u) in Ω subject to some Dirichlet conditions, where Ω is a regular domain in ℝn (n≥3) with compact boundary.
The nonlinearity f is nonnegative continuous and the potential p belongs to some Kato class K(Ω).
So we prove the existence of a positive continuous solution depending on λ by the use of a potential theory approach.
American Psychological Association (APA)
Toumi, Faten. 2010. Existence of Positive Bounded Solutions of Semilinear Elliptic Problems. International Journal of Differential Equations،Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-448328
Modern Language Association (MLA)
Toumi, Faten. Existence of Positive Bounded Solutions of Semilinear Elliptic Problems. International Journal of Differential Equations No. 2010 (2010), pp.1-10.
https://search.emarefa.net/detail/BIM-448328
American Medical Association (AMA)
Toumi, Faten. Existence of Positive Bounded Solutions of Semilinear Elliptic Problems. International Journal of Differential Equations. 2010. Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-448328
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448328