An existence theorem for a strongly nonlinear elliptic problem in Musielak–Orlicz spaces
Volume 41 / 2014
Applicationes Mathematicae 41 (2014), 175-184
MSC: Primary 35J57; Secondary 35J60.
DOI: 10.4064/am41-2-5
Abstract
We prove an existence result for some class of strongly nonlinear elliptic problems in the Musielak–Orlicz spaces $W^{1} L_{\varphi }(\varOmega )$, under the assumption that the conjugate function of $\varphi $ satisfies the $\Delta _2$-condition.
