Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak–Orlicz–Sobolev
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We investigate nonlinear elliptic Dirichlet problems whose growth is driven by a general
anisotropic N-function, which is not necessarily of power-type and need not satisfy the Δ _2 …

Purpose In the present paper, the authors will discuss the solvability of a class of nonlinear
anisotropic elliptic problems (P), with the presence of a lower-order term and a non …

Boundary value problems for second-order elliptic equations in divergence form, whose
nonlinearity is governed by a convex function of non-necessarily power type, are …

We investigate solutions to nonlinear elliptic Dirichlet problems of the type {− div A (x, u,∇
u)= μ in Ω, u= 0 on∂ Ω, where Ω is a bounded Lipschitz domain in R n and A (x, z, ξ) is a …

Studying elliptic measure data problem with strongly nonlinear operator whose growth is
described by the means of fully anisotropic N‐function, we prove the uniqueness for a broad …

REGULARITY RESULTS FOR LOCAL SOLUTIONS TO SOME ANISOTROPIC ELLIPTIC
EQUATIONS Page 1 ISRAEL JOURNAL OF MATHEMATICS TBD (2023), 1–35 DOI …

In this study, the Dirichlet problem for a particular class of anisotropic elliptic equations is
taken into account. The right-hand side of these equations is framed in anisotropic Orlicz …

This paper is devoted to studying the existence of a solution to the Dirichlet problem for a
specific class of elliptical anisotropic equations of the type\begin {eqnarray}\label {P …

Over the last decade, a large literature describes various aspects of PDEs whose main part
of the operator has power-type growth with the leading example of the p-Laplacian. There is …