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Existence of symmetric positive solutions for a three-point singular boundary value problem with a \(p\)-Laplacian operator. (Chinese. English summary) Zbl 1240.34087

Summary: We consider a three-point singular boundary value problem with a \(p\)-Laplacian operator by using fixed point index theory. Existence and multiplicity results of symmetric positive solutions are obtained.

MSC:

34B16 Singular nonlinear boundary value problems for ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations