Abstract
AbstractBy employing critical point theory, we investigate the existence of solutions to a boundary value problem for a p-Laplacian partial difference equation depending on a real parameter. To be specific, we give precise estimates of the parameter to guarantee that the considered problem possesses at least three solutions. Furthermore, based on a strong maximum principle, we show that two of the obtained solutions are positive under some suitable assumptions of the nonlinearity.
Funder
National Natural Science Foundation of China
The Program for Changjiang Scholars and Innovative Research Team in University
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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