We establish maximal local regularity results of weak solutions or local minimizers of div A
(x, D u)= 0 and min u∫ Ω F (x, D u) dx, providing new ellipticity and continuity assumptions …

Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak–Orlicz–Sobolev
spaces - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books …

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 …

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 …

Removable sets in non-uniformly elliptic problems | SpringerLink Skip to main content
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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 establish the equivalence between weak and viscosity solutions to the
nonhomogeneous double phase equation with lower-order term-div (| D u| p-2 D u+ a (x)| D …

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 …