Some metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian
Date
2004-04-19
Authors
Pasic, Mervan
Zupanovic, Vesna
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the asymptotic behaviour of ɛ-neighbourhood of the graph of a type of rapidly oscillating continuous functions. Next, we estate necessary and sufficient conditions for rapid oscillations of solutions of the main equation. This enables us to verify some new singular properties of bounded continuous solutions of a class of nonlinear p-Laplacian by calculating lower and upper bounds for the Minkowski content and the s-dimensional density of the graph of each solution and its derivative.
Description
Keywords
Nonlinear p-Laplacian, Bounded solutions, Qualitative properties, Graph, Singularity, Minkowski content, S-dimensional density
Citation
Pasic, M., & Zupanovic, V. (2004). Some metric-singular properties of the graph of solutions of the one-dimensional p-Laplacian. <i>Electronic Journal of Differential Equations, 2004</i>(60), pp. 1-25.
Rights
Attribution 4.0 International