Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 60, pp. 1-25.

Title: Some metric-singular properties of the graph of solutions 
       of the one-dimensional p-Laplacian

Authors: Mervan Pasic (Univ. of Zagreb, Croatia)
 Vesna Zupanovic (Univ. of Zagreb, Croatia)

Abstract:
  We study the asymptotic behaviour of $epsilon$-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.

Submitted October 28, 2003. Published April 19, 2004.
Math Subject Classifications: 35J60, 34B15, 28A75.
Key Words: Nonlinear p-Laplacian; bounded solutions; qualitative properties;
           graph; singularity; Minkowski content; s-dimensional density.