Granero Belinchón, RafaelMagliocca, MartinaOrtega García, Alejandro2025-10-152025-10-152025-04-15Granero-Belinchón, R., Magliocca, M., & Ortega, A. (2025). New Functional Inequalities with Applications to the Arctan-Fast Diffusion Equation. Mediterranean Journal of Mathematics, 22(73). https://doi.org/10.1007/S00009-025-02842-11660-5446 | eISSN 1660-5454https://doi.org/10.1007/s00009-025-02842-1https://hdl.handle.net/20.500.14468/30415The registered version of this article, first published in Mediterranean Journal of Mathematics, 22(73), is available online at the publisher's website: https://doi.org/10.1007/s00009-025-02842-1La versión registrada de este artículo, publicado por primera vez en Mediterranean Journal of Mathematics, 22(73), está disponible en línea en el sitio web del editor: https://doi.org/10.1007/s00009-025-02842-1eninfo:eu-repo/semantics/openAccess12 MatemáticasartículoArctan-fast diffusion equationglobal solutionsfunctional inequalities