In this paper we deal with p-Laplacian and ∞-Laplacian obstacle problems in fractal and pre-fractal domains, analyzing both the asymptotic behavior and the issue of the uniqueness of the solutions. Moreover, we consider numerical approximations, we state uniform estimates for FEM-approximate solutions and we discuss about the rate of vanishing of the approximation error.
Fragapane, S., ∞-Laplacian Obstacle Problems in Fractal Domains, in Lancia, M. R., Rozanova-Pierrat, A. (ed.), Fractals in Engineering: Theoretical Aspects and Numerical Approximations, Springer Science and Business Media Deutschland GmbH, Cham 2021: <<SEMA SIMAI SPRINGER SERIES>>, 8 55- 77. 10.1007/978-3-030-61803-2_3 [http://hdl.handle.net/10807/179416]
∞-Laplacian Obstacle Problems in Fractal Domains
Fragapane, Salvatore
2021
Abstract
In this paper we deal with p-Laplacian and ∞-Laplacian obstacle problems in fractal and pre-fractal domains, analyzing both the asymptotic behavior and the issue of the uniqueness of the solutions. Moreover, we consider numerical approximations, we state uniform estimates for FEM-approximate solutions and we discuss about the rate of vanishing of the approximation error.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
