Anisotropic and inhomogeneous spaces, which are at the core of the present study, may
appear exotic at first. However, the reader should abandon this impression once they realize …

We study weak solutions and minimizers u of the non-autonomous problems div A (x, D u)=
0 and min v∫ Ω F (x, D v) dx with quasi-isotropic (p, q)-growth. We consider the case that u …

Anisotropic generalized Orlicz spaces have been investigated in many recent papers, but
the basic assumptions are not as well understood as in the isotropic case. We study the …

We establish the absence of the Lavrentiev gap between Sobolev and smooth maps for a
non-autonomous variational problem of a general structure, where the integrand is assumed …

We study nonlinear measure data elliptic problems involving the operator of generalized
Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well as natural variants of …

We prove the absence of a Lavrentiev gap for vectorial integral functionals of the form $$ F:
g+ W_0^{1, 1}(\Omega)^ m\to\mathbb {R}\cup\{+\infty\},\qquad F (u)=\int_\Omega W …

We study classes of weights ensuring the absence and presence of the Lavrentiev's
phenomenon for double phase functionals upon every choice of exponents. We introduce a …

We consider a multidimensional scalar problem of the calculus of variations with a
nonnegative general Lagrangian depending on the space variable, on a Sobolev function …

We study Trudinger‐type inequalities for variable Riesz potentials J α (·), τ f J_α(⋅),τf of
functions in Musielak–Orlicz–Morrey spaces over bounded metric measure spaces. As a …

Conditions for harmonic analysis in generalized Orlicz spaces have been studied over the
past decade. One approach involves the generalized inverse of so‐called weak Φ Φ …