Existence of solutions for p-Laplacian discrete equations
نویسندگان
چکیده
This work is devoted to the study of the existence of at least one (non-zero) solution to a problem involving the discrete p-Laplacian. As a special case, we derive an existence theorem for a second-order discrete problem, depending on a positive real parameter a, whose prototype is given by Duðk 1Þ 1⁄4 af ðk;uðkÞÞ; 8k 2 Z1⁄21; T ; uð0Þ 1⁄4 uðT þ 1Þ 1⁄4 0: ( Our approach is based on variational methods in finite-dimensional setting. 2014 Elsevier Inc. All rights reserved.
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 242 شماره
صفحات -
تاریخ انتشار 2014