On positive solutions for a class of elliptic systems involving the p(x)-laplacian with multiple parameters
Afrouzi, Ghasem Alizadeh
Chung, Nguyen Thanh
Date of Issue2013
School of Physical and Mathematical Sciences
In this article, we consider the system of differential equations (equations presented) where Ω ⊃ RN is a bounded domain with C2 boundary δΩ, 1< p(x)εC1 (Ω̄) is a function. The operator (equations presented) is called p(x) -Laplacian, λ,λ1,λ2,μ1 and μ2 are positive parameters. We prove the existence of positive solutions when (equations presented) via sub-supersolutions without assuming sign conditions on f (0), g(0), h(0) or τ (0) .
UPB scientific bulletin, series A : applied mathematics and physics
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