Critical points of non-regular integral functionals

  • Lucio Boccardo

    Università di Roma La Sapienza, Italy
  • Benedetta Pellacci

    Università degli Studi della Campania "Luigi Vanvitelli", Caserta, Italy

Abstract

We prove the existence of a bounded positive critical point for a class of functionals such as

for a bounded open set in , ,, , and measurable function satisfying , almost everywhere in .

Cite this article

Lucio Boccardo, Benedetta Pellacci, Critical points of non-regular integral functionals. Rev. Mat. Iberoam. 34 (2018), no. 3, pp. 1001–1020

DOI 10.4171/RMI/1013