@article{26c5fba33fb14063938fd3abdc567732,
title = "On minimization of a non-convex functional in variable exponent spaces",
abstract = "We study the existence of minimizers of a regularized non-convex functional in the context of variable exponent Sobolev spaces by application of the direct method in the calculus of variations. The results are new even in the framework of classical Lebesgue spaces.",
keywords = "Direct method, Variable Lebesgue spaces, Variable Sobolev spaces, Variable exponent functional",
author = "Chac{\'o}n, {Gerardo R.} and Renato Colucci and Humberto Rafeiro and Andr{\'e}s Vargas",
note = "Funding Information: The authors would like to thank the anonymous referee for useful remarks that helped to improve the presentation. This paper was financially supported under the project id-pry: 004605 of Faculty of Sciences of Pontificia Universidad Javeriana, Bogot{\'a} D.C., Colombia.",
year = "2014",
month = jan,
doi = "10.1142/S0129167X14500116",
language = "English",
volume = "25",
journal = "International Journal of Mathematics",
issn = "0129-167X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "1",
}