On the discrete version of Picone's identity |
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Authors: | S Amghibech |
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Institution: | 2845 rue legare, Sainte-Foy, Que., Canada G1V 2H1 |
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Abstract: | For a real number p with 1<p we consider the first eigenvalues of the p-Laplacian on graphs, and estimates for the solutions of p-Laplace equations on graphs. We provide a discrete version of Picone's identity and its application. More precisely, we prove a Barta-type inequality for graphs with boundary. Finally, we provide a discrete version of the anti-maximum principle. |
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Keywords: | 05C90 31C45 |
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