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.
"Local boundedness of minimizers of integral functionals with $(p,q)$--growth on metric spaces." Funct. Approx. Comment. Math. 40 (1) 127 - 138, March 2009. https://doi.org/10.7169/facm/1238418803