AbstractIn this paper, we study asymptotic behavior of solutions to obstacle problems for p-Laplacians as {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.
An alternative explicit expression of the kernel of the one dimensional heat equation with Dirichlet conditions
