Strongly nonlinear elliptic problem with measure data in Musielak-Orlicz spaces

On the some equations inequalities in Musielak-Orlicz spaces with measure data

“…In the setting of Musielak-Orlicz spaces and in the variational case, Benkirane and Sidi El vally [15] proved the existence of solutions for the obstacle elliptic problem where they generalized the work of Gossez and Mustonen in [19], there are several papers worth mentioning that deal with the existence solutions of elliptic and parabolic problems under various assumptions (see [13,25,24,21,12,22,23,11,14,3,4,2,5,7,6] for more details).…”

Entropy solutions of nonlinear elliptic equations with $L^1$-data and without strict monotonocity conditions in weighted Orlicz-Sobolev spaces

“…The existence theorem was proved by the authors in [9]. Recently, much attention has been paid to the existence of solutions of elliptic and parabolic problems under various assumptions; see, e.g., [9,10,11,12,13,14,15] and the references therein.…”