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. 1001–1020DOI 10.4171/RMI/1013