Bufalo, R. [UNESP]2015-10-212015-10-212015-06-30Physics Letters B, v. 746, p. 251-256, 2015.0370-2693http://hdl.handle.net/11449/128961In this work we discuss the properties of a modified Born-Infeld electrodynamics in the framework of very special relativity (VSR). This proposal allows us to study VSR mass effects in a gauge-invariant context of nonlinear electrodynamics. It is analyzed in detail the electrostatic solutions for two different cases, as well as the VSR dispersion relations are found to be of a massiveparticle with nonlinear modifications. Afterwards, the field energy and static potential are computed, in the latter we find from the VSR contribution a novel long-range 1/L-3 correction to the Coulomb potential, in contrast to the 1/L-5 correction of the usual Born-Infeld theory. (C) 2015 The Author. Published by Elsevier B.V. This is an open access article under the CC BY license.251-256engArtigo10.1016/j.physletb.2015.05.014WOS:000355378200039Acesso abertoWOS000355378200039.pdf