Existence of positive solutions for variable exponent elliptic systems
1 Department of Mathematics, Sciences and Research, Islamic Azad University (IAU) Tehran, Iran
2 Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
3 Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, China
4 Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran
Boundary Value Problems 2012, 2012:37 doi:10.1186/1687-2770-2012-37Published: 3 April 2012
We consider the system of differential equations
where Ω ⊂ ℝN is a bounded domain with C2 boundary ∂Ω, 1 < p(x) ∈C1 is a function. is called p(x)-Laplacian. We discuss the existence of positive solution via sub-super solutions without assuming sign conditions on f(0), h(0).
MSC: 35J60; 35B30; 35B40.