2024-01-222024-01-222023-01-19Anguiano Moreno, M. (2023). On p-Laplacian reaction–diffusion problems with dynamical boundary conditions in perforated media. Mediterranean Journal of Mathematics, 20, 124. https://doi.org/10.1007/s00009-023-02333-1.1660-54461660-5454https://hdl.handle.net/11441/153734We study the effect of the p-Laplacian operator in the modelling of the heat equation through a porous medium ( ). The case of was recently published in Anguiano (Mediterr J Math 17:18, https://doi.org/10.1007/s00009-019-1459-y, 2020). Using rigorous functional analysis techniques and the properties of Sobolev spaces, we managed to solve additional (nontrivial) difficulties which arise compared to the study for , and we prove a convergence theorem in appropriate functional spaces.application/pdf16 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Asymptotic analysisp-Laplacianheat equationOn p-Laplacian reaction–diffusion problems with dynamical boundary conditions in perforated mediainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s00009-023-02333-1