Positive Solution for the Elliptic Problems with Sublinear and Superlinear Nonlinearities

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.