Positive Solution for the Elliptic Problems with Sublinear and Superlinear Nonlinearities
- Chunmei Yuan
- Shujuan Guo
- Kaiyu Tong
Publication date
January 2010
DOI Publisher
Hindawi Limited ISSN
1024-123X Journal
Mathematical Problems in Engineering Citation count (estimate)
1Abstract
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<p<1<q. 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
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