In the last decades, comparison results of Talenti type for Elliptic Problems with Dirichlet boundary conditions have been widely investigated. In this paper, we generalize the results obtained in Alvino et al. (Commun Pure Appl Math, to appear) to the case of p-Laplace operator with Robin boundary conditions. The point-wise comparison, obtained in Alvino et al. (to appear) only in the planar case, holds true in any dimension if p is sufficiently small.
Comparison results for solutions to p-Laplace equations with Robin boundary conditions / Amato, Vincenzo; Gentile, Andrea; Masiello, Alba Lia. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 201:3(2022), pp. 1189-1212. [10.1007/s10231-021-01153-y]
Comparison results for solutions to p-Laplace equations with Robin boundary conditions
Amato, Vincenzo;Masiello, Alba Lia
2022
Abstract
In the last decades, comparison results of Talenti type for Elliptic Problems with Dirichlet boundary conditions have been widely investigated. In this paper, we generalize the results obtained in Alvino et al. (Commun Pure Appl Math, to appear) to the case of p-Laplace operator with Robin boundary conditions. The point-wise comparison, obtained in Alvino et al. (to appear) only in the planar case, holds true in any dimension if p is sufficiently small.| File | Dimensione | Formato | |
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