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, S.
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.
Inglese
Fractals in Engineering: Theoretical Aspects and Numerical Approximations
978-3-030-61802-5
Springer Science and Business Media Deutschland GmbH
8
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/179416
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