On minimization of a non-convex functional in variable exponent spaces

Gerardo R. Chacón, Renato Colucci, Humberto Rafeiro, Andrés Vargas

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

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.

Original languageEnglish
Article number1450011
JournalInternational Journal of Mathematics
Volume25
Issue number1
DOIs
Publication statusPublished - Jan 2014
Externally publishedYes

Keywords

  • Direct method
  • Variable Lebesgue spaces
  • Variable Sobolev spaces
  • Variable exponent functional

ASJC Scopus subject areas

  • General Mathematics

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