Existence of Positive Solutions for a Class of Variable Exponent Elliptic Systems
DOI:
https://doi.org/10.7146/math.scand.a-23298Abstract
We consider the system of differential equations {−Δp(x)u=λp(x)f(u,v)in Ω,−Δq(x)v=μq(x)g(u,v)in Ω,u=v=0on ∂Ω, where Ω⊂RN is a bounded domain with C2 boundary ∂Ω,1<p(x),q(x)∈C1(ˉΩ) are functions. Δp(x)u=div(|∇u|p(x)−2∇u) is called p(x)-Laplacian. We discuss the existence of a positive solution via sub-super solutions.Downloads
Published
2016-03-07
How to Cite
Ala, S., & Afrouzi, G. A. (2016). Existence of Positive Solutions for a Class of Variable Exponent Elliptic Systems. MATHEMATICA SCANDINAVICA, 118(1), 83–94. https://doi.org/10.7146/math.scand.a-23298
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