Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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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 …

Maximal regularity for local minimizers of non-autonomous functionals Page 1 © 2021
European Mathematical Society Published by EMS Press. This work is licensed under a CC BY …

We study the homogeneous Dirichlet problem for the parabolic equations ut− div (A (z,∣∇
u∣)∇ u)= F (z, u,∇ u), z=(x, t)∈ Ω×(0, T), with the double phase flux A (z,∣∇ u∣)∇ …

Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak–Orlicz–Sobolev
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For a class of functionals having the (p, q)-growth, we establish an improved range of
exponents p, q for which the Lavrentiev phenomenon does not occur. The proof is based on …

In this paper we mainly prove the existence and uniqueness of entropy solutions and the
uniqueness of renormalized solutions to the general nonlinear elliptic equations in Musielak …

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 obtain an a-priori W_ loc^ 1, ∞\left (Ω; R^ m\right) W loc 1,∞ Ω; R m-bound for weak
solutions to the elliptic system div A\left (x, Du\right)= ∑ _ i= 1^ n ∂ ∂ x_ i a_ i^ α\left (x …

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 …