@article{10902/36411, year = {2025}, month = {5}, url = {https://hdl.handle.net/10902/36411}, organization = {R.G-B thanks Javier Gómez-Serrano for useful discussions. The work of M.M. was partially supported by Grant RYC2021-033698-I, funded by the Ministry of Science and Innovation/State Research Agency/10.13039/501100011033 and by the European Union “NextGenerationEU/Recovery, Transformation and Resilience Plan”. R.G-B and M.M. are funded by the project “Análisis Matemático Aplicado y Ecuaciones Diferenciales” Grant PID2022-141187NB I00 funded by MCIN/AEI/10.13039/501100011033/FEDER, UE and acronym “AMAED”. This publication is part of the project PID2022-141187NB-I00 funded by MCIN/ AEI/10.13039/501100011033. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.}, publisher = {Birkhäuser}, publisher = {Mediterranean Journal of Mathematics, 2025, 22(3), 73}, title = {New functional inequalities with applications to the arctan-fast diffusion equation}, author = {Granero Belinchón, Rafael and Magliocca, Martina and Ortega, Alejandro}, }