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The problem (3.3) arises in the study of non-Newtonian fluids, boundary layer phenomena for viscous fluids, chemical heterogeneous catalysts, as well as in the theory of heat conduction in electrically materials (see [28 32]).
In the past few decades much attention has been devoted to nonlinear elliptic equations with singularities because of their wide applications in applied sciences, for example, non-Newtonian fluids, boundary layer phenomena for viscous fluids, chemical heterogenous catalysts, etc. (see, for example, [1, 2]).
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