We study the Dirichlet problems for elliptic partial differential systems with nonuniform growth. By means of the Musielak-Orlicz space theory, we obtain the existence of weak solutions, which generalizes the result of Acerbi and Fusco [1].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-3,
author = {Y. Q. Fu},
title = {The existence of solutions for elliptic systems with nonuniform growth},
journal = {Studia Mathematica},
volume = {151},
year = {2002},
pages = {227-246},
zbl = {1007.35023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-3}
}
Y. Q. Fu. The existence of solutions for elliptic systems with nonuniform growth. Studia Mathematica, Tome 151 (2002) pp. 227-246. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-3-3/