Affiliation:
1. Department of Basic and Applied Sciences for Engineering , Sapienza University of Rome , via A. Scarpa 10 , Rome , Italy
Abstract
Abstract
In this paper, we study asymptotic behavior of solutions to obstacle problems for p-Laplacians as
p
→
∞
{p\to\infty}
.
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 the whole family of the solutions of obstacle problems either for data f that change sign in Ω or for data f (that do not change sign in Ω) possibly vanishing in a set of positive measure.
Funder
Sapienza Universitá di Roma
Subject
Applied Mathematics,Analysis
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