Uniqueness results for the one-dimensional p-Laplacian |
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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 positive solutions of the boundary value problem ′(|y′|p−2y′)+f(y)=0, y(−b)=0=y(b) where p>1, b is a positive parameter. Assume that f is continuous on (0,+∞), changes sign from nonpositive to positive, and f(y)/yp−1 is nondecreasing in the interval of f>0. The uniqueness results are proved using a time-mapping analysis. |
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Keywords: | p-Laplacian Boundary value problem Positive solution Uniqueness |
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