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/