Positive Solution for the Elliptic Problems with Sublinear and Superlinear Nonlinearities
Joint Authors
Yuan, Chunmei
Guo, Shujuan
Tong, Kaiyu
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper deals with the existence of positive solutions for the elliptic problems with sublinear and superlinear nonlinearities -Δu=λa(x)up+b(x)uq in Ω, u>0 in Ω, u=0 on ∂Ω, where λ>0 is a real parameter, 0
Ω is a bounded domain in RN (N≥ 3), and a(x) and b(x) are some given functions.
By means of variational method and super-subsolution method, we obtain some results about existence of positive solutions.
American Psychological Association (APA)
Yuan, Chunmei& Guo, Shujuan& Tong, Kaiyu. 2011. Positive Solution for the Elliptic Problems with Sublinear and Superlinear Nonlinearities. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-487461
Modern Language Association (MLA)
Yuan, Chunmei…[et al.]. Positive Solution for the Elliptic Problems with Sublinear and Superlinear Nonlinearities. Mathematical Problems in Engineering No. 2010 (2010), pp.1-10.
https://search.emarefa.net/detail/BIM-487461
American Medical Association (AMA)
Yuan, Chunmei& Guo, Shujuan& Tong, Kaiyu. Positive Solution for the Elliptic Problems with Sublinear and Superlinear Nonlinearities. Mathematical Problems in Engineering. 2011. Vol. 2010, no. 2010, pp.1-10.
https://search.emarefa.net/detail/BIM-487461
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487461