We provide density results for smooth functions in non-reflexive Musielak spaces defined up
on time-and space-dependent modular functions. These Musielak spaces encompass a …

We discuss and compare a number of notions of modulars appeared in literature, among
which there is a selection of the well known ones. We highlight the connections between the …

We provide continuous Sobolev-type imbedding results for Musielak spaces. In the first
result the target space is a Musielak space bigger than the considered one, while the …

We study the well-posedness of solutions to the general nonlinear parabolic equations with
merely integrable data in time-dependent Musielak-Orlicz spaces. With the help of a density …

We investigate the existence and uniqueness of variational solutions for the Dirichlet
problem associated with variational nonlinear elliptic equations in Musielak spaces. We …

Abstract We discuss Meyers-Serrin's type results for smooth approximations of functions b=
b (t, x): R× R n→ R m, with convergence of an energy of the form∫ R∫ R nw (t, x) φ| D b (t …

We propose relevant modular vector-valued non-reflexive function spaces to investigate
unsteady problems involving non-linear monotone operators in variational framework with …

Au cours des deux dernières décennies, l'étude des équations aux dérivées partielles
(EDP's) à croissance non standard a suscité un vif intérêt dans diverses directions de la …