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 …

We present two generalizations of the classical Stampacchia Lemma. As applications, we
consider Dirichlet problem for elliptic systems of the form−∑ i= 1 n∂∂ xi∑ β= 1 N∑ j= 1 …

We derive estimates for entropy solutions to degenerate elliptic equations of the form {− div
A (x, u (x),∇ u (x))= f (x), x∈ Ω, u (x)= 0, x∈∂ Ω, where the Carathéodory function A: Ω× R× …

This paper deals with boundary value problems of the form−∑ i= 1 n D i (ai (x, u (x), D u
(x)))= f (x), x∈ Ω, u (x)= 0, x∈∂ Ω. Assume that there exist c 1, ν, θ> 0 such that for almost all …

In this article, we give a series of results on the improved integrability and boundedness of
solutions to several anisotropic problems. In particular, we consider the nonhomogeneous …

We present a generalization of Stampacchia Lemma and give applications to regularity
property of weak and entropy solutions of degenerate elliptic equations of the form …

REGULARITY RESULTS FOR LOCAL SOLUTIONS TO SOME ANISOTROPIC ELLIPTIC
EQUATIONS Page 1 ISRAEL JOURNAL OF MATHEMATICS 261 (2024), 1–35 DOI: 10.1007/s11856-023-2564-y …

arXiv:2307.13564v1 [math.AP] 25 Jul 2023 Page 1 arXiv:2307.13564v1 [math.AP] 25 Jul 2023
Existence and uniqueness of solutions to some anisotropic elliptic equations with a singular …

Integral estimates for weak solutions to a class of Dirichlet problems for nonlinear, fully
anisotropic, elliptic equations with a zero order term are obtained by symmetrization …

− div s (x, u (x),∇ u (x))=− div (u (x)| u (x)| θ− 1 E (x))+ f (x), x∈, u (x)= 0, x∈∂, where the
Carathéodory function s:×× n→ n satisfies degenerate coercivity condition s (x, s, ξ)· ξ≥ α| ξ …