Abstract The Musielak–Orlicz setting unifies variable exponent, Orlicz, weighted Sobolev,
and double-phase spaces. They inherit technical difficulties resulting from general growth …

We study a general nonlinear parabolic equation on a Lipschitz bounded domain in RN,{∂
tu− div A (t, x,∇ u)= f (t, x) in Ω T, u (t, x)= 0 on (0, T)×∂ Ω, u (0, x)= u 0 (x) in Ω, with f∈ L∞(Ω …

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We establish pointwise estimates expressed in terms of a nonlinear potential of a
generalized Wolff type for $ A $-superharmonic functions with nonlinear operator …

We study solutions to measure data elliptic systems with Uhlenbeck-type structure that
involve operator of divergence form, depending continuously on the spacial variable, and …

We study properties of A A-harmonic and A A-superharmonic functions involving an operator
having generalized Orlicz growth. Our framework embraces reflexive Orlicz spaces, as well …

Controlling the monotonicity and growth of Leray–Lions' operators including the p-Laplacian
plays a fundamental role in the theory of existence and regularity of solutions to second …

Under various conditions on the data we analyze how the appearance of lower order terms
affects the gradient estimates on solutions to a general nonlinear elliptic equation of the form …

We study the existence of very weak solutions to a system-div A (x, D u)= μ in Ω, u= 0 on∂ Ω
with a datum μ being a vector-valued bounded Radon measure and A: Ω× R n× m→ R n× m …