We study local boundedness of the local minimizers of functionals with $(p,q)$-growth on metric measure spaces equipped with a doubling measure and supporting a weak Poincar\'e inequality.
The metric space is not required to be complete.
@article{1238418803,
author = {Maasalo, Outi Elina and Stroffolini, Bianca and Verde, Anna},
title = {Local boundedness of minimizers of integral functionals with $(p,q)$--growth on metric spaces},
journal = {Funct. Approx. Comment. Math.},
volume = {40},
number = {1},
year = {2009},
pages = { 127-138},
language = {en},
url = {http://dml.mathdoc.fr/item/1238418803}
}
Maasalo, Outi Elina; Stroffolini, Bianca; Verde, Anna. Local boundedness of minimizers of integral functionals with $(p,q)$--growth on metric spaces. Funct. Approx. Comment. Math., Tome 40 (2009) no. 1, pp. 127-138. http://gdmltest.u-ga.fr/item/1238418803/