Latorre, MartaSegura de León, Sergio2024-03-222024-03-222018Marta Latorre, Sergio Segura de León, Elliptic 1-Laplacian equations with dynamical boundary conditions, Journal of Mathematical Analysis and Applications, Volume 464, Issue 2, 2018, Pages 1051-1081, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2018.02.006.https://hdl.handle.net/10115/31558This paper is concerned with an evolution problem having an elliptic equation involving the 1-Laplacian operator and a dynamical boundary condition. We apply nonlinear semigroup theory to obtain existence and uniqueness results as well as a comparison principle. Our main theorem shows that the solution we found is actually a strong solution. We also compare solutions with different data.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Nonlinear elliptic equationsDynamical boundary conditions1-Laplacian operatorinfo:eu-repo/semantics/article10.1016/j.jmaa.2018.02.006info:eu-repo/semantics/openAccess