Research
Positive solutions of nonhomogeneous boundary value problems for some nonlinear equation with ϕ-Laplacian
Department of Mathematics, Ningbo University, Ningbo, 315211, P.R. China
Boundary Value Problems 2012, 2012:130 doi:10.1186/1687-2770-2012-130
Published: 12 November 2012Abstract
We will consider the nonhomogeneous ϕ-Laplacian differential equation
where 
(
) is an increasing homeomorphism such that 
, 
and 
are continuous, 
and 
and 
, 
. Based on the Krasnosel’skii fixed point theorem, the existence of a positive solution
is obtained, even if some of the 
coefficients are negative. Two examples are also given to illustrate our main results.
