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Existence of positive solutions for variable exponent elliptic systems

Existence of positive solutions for variable exponent elliptic systems

We consider the system of differential equations where Ω ⊂ ℝ N is a bounded domain with C 2 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; …