POSITIVE SOLUTIONS OF THREE-POINT BOUNDARY VALUE PROBLEMS FOR HIGHER-ORDER p-LAPLACIAN WITH INFINITELY MANY SINGULARITIES
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چکیده
where φp(s) is a p-Laplacian operator, that is, φp(s)= |s|p−2s, p > 1, η ∈ (0,1) is a given constant, α > 0, γ > 0, β ≥ 0, δ ≥ 0, g : [0,1]→ [0,∞) has countable many singularities on (0,1/2). In recent years, because of the wide mathematical and physical backgrounds [7, 8], the existence of positive solutions for nonlinear boundary value problems with p-Laplacian received wide attention. Especially, when p = 2, the existence of positive solutions for nonlinear singular boundary value problems has been obtained (see [5, 6, 10]); when p = 2 and the nonlinearities are continuous, many results of the existence of positive solutions
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تاریخ انتشار 2006