Exact multiplicity results for a class of two-point boundary value problems |
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Authors: | Jiangang Cheng |
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Affiliation: | Department of Mathematics, Yantai University, Yantai 264005, Shandong, PR China |
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Abstract: | This paper is concerned with the exact number of positive solutions for boundary value problems ′(|y′|p−2y′)+λf(y)=0 and y(−1)=y(1)=0, where p>1 and λ>0 is a positive parameter. We consider the case in which the nonlinearity f is positive on (0,∞) and (p−1)f(u)−uf′(u) changes sign from negative to positive. |
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Keywords: | Boundary value problem p-Laplacian Positive solution Exact multiplicity |
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