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Multiple positive solutions for one-dimensional \(p\)-Laplacian boundary value problems. (English) Zbl 1071.34022

Summary: By means of the Leggett-Williams fixed-point theorem, criteria are developed for the existence of at least three positive solutions to the one-dimensional \(p\)-Laplacian boundary value problem \((\phi(y'))'+ g(t)f(t,y)= 0\), \(y(0)- B_0(y'(0))= 0\), \(y(1)+ B_1(y'(1))= 0\), with \(\phi(v):=|v|^{p-2}v\), \(p>1\).

MSC:

34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations
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References:

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