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The existence of positive solutions for the one-dimensional $$p$$-Laplacian. (English) Zbl 0884.34032
Summary: We study the existence of positive solutions of the equation $\bigl(g(u')\bigr)'+a(t)f(u)=0,$ where $$g(v)=|v|^{p-2}v$$, $$p>1$$, subject to nonlinear boundary conditions. We show the existence of at least one positive solution by a simple application of a fixed point theorem in cones and the Arzela-Ascoli theorem.

##### MSC:
 34B15 Nonlinear boundary value problems for ordinary differential equations
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##### References:
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