Limit of p-Laplacian Obstacle problems
Analysis of PDEs
2023-12-29 v2
Abstract
In this paper we study asymptotic behavior of solutions of obstacle problems for Laplacians as For the one-dimensional case and for the radial case, we give an explicit expression of the limit. In the n-dimensional case, we provide sufficient conditions to assure the uniform convergence of whole family of the solutions of obstacle problems either for data that change sign in or for data (that do not change sign in ) possibly vanishing in a set of positive measure.
Cite
@article{arxiv.1811.03863,
title = {Limit of p-Laplacian Obstacle problems},
author = {Raffaela Capitanelli and Maria Agostina Vivaldi},
journal= {arXiv preprint arXiv:1811.03863},
year = {2023}
}