. . . . . . "J-PLUS: The star formation main sequence and rate density at d\u2006\u2004\u2272\u2004\u200675 Mpc"@en . . "Aims. Our goal is to estimate the star formation main sequence (SFMS) and the star formation rate density (SFRD) at z\u2004\u2264\u20040.017 ( d\u2004\u2272\u200475 Mpc) using the Javalambre Photometric Local Universe Survey (J-PLUS) first data release, that probes 897.4 deg 2 with twelve optical bands. Methods. We extract the H \u03B1 emission flux of 805 local galaxies from the J-PLUS filter J0660, being the continuum level estimated with the other eleven J-PLUS bands, and the dust attenuation and nitrogen contamination corrected with empirical relations. Stellar masses ( M\u22C6), H \u03B1 luminosities ( LH \u03B1), and star formation rates (SFRs) were estimated by accounting for parameters covariances. Our sample comprises 689 blue galaxies and 67 red galaxies, classified in the ( u\u2005\u2212\u2005 g) vs. ( g\u2005\u2212\u2005 z) color-color diagram, plus 49 AGN. Results. The SFMS is explored at log M\u22C6\u2004\u2273\u20048 and it is clearly defined by the blue galaxies, with the red galaxies located below them. The SFMS is described as log SFR\u2004=\u20040.83log M\u22C6\u2005\u2212\u20058.44. We find a good agreement with previous estimations of the SFMS, especially those based on integral field spectroscopy. The H \u03B1 luminosity function of the AGN-free sample is well described by a Schechter function with log LH \u03B1\u2217 = 41.34, log \u03D5*\u2004=\u2004\u22122.43, and \u03B1\u2004=\u2004\u22121.25. Our measurements provide a lower characteristic luminosity than several previous studies in the literature. Conclusions. The derived star formation rate density at d\u2004\u2272\u200475 Mpc is log \u03C1SFR\u2004=\u2004\u22122.10\u2005\u00B1\u20050.11, with red galaxies accounting for 15% of the SFRD. Our value is lower than previous estimations at similar redshift, and provides a local reference for evolutionary studies regarding the star formation history of the Universe."@en . . . . . . . "2021"^^ . "ESO" . . "aa39156-20" . "\u00A9 ESO 2021" . . . . . . . . . . . . . . . . . . . . . . "2021"^^ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .