Some remarks on elliptic problems with critical growth in the gradient Page 1 J. Differential
Equations 222 (2006) 21–62 www.elsevier.com/locate/jde Some remarks on elliptic problems …

In this paper, we study a class of nonlinear elliptic Dirichlet problems whose simplest model
example is: Here Ω is a bounded open set in RN (N⩾ 2), Δp denotes the so-called p-Laplace …

This monograph looks at several trends in the investigation of singular solutions of nonlinear
elliptic and parabolic equations. It discusses results on the existence and properties of weak …

We study some properties of the solutions of (E)− Δ p u+|∇ u| q= 0 in a domain Ω⊂ RN,
mostly when p≥ q> p− 1. We give a universal a priori estimate of the gradient of the …

In this paper we deal with the following boundary value problem {− Δ p u+ g (u)|∇ u| p= h (u)
f in Ω, u≥ 0 in Ω, u= 0 on∂ Ω, in a domain Ω⊂ RN (N≥ 2), where 1≤ p< N, g is a positive …

We establish a precise connection between two elliptic quasilinear problems with Dirichlet
data in a bounded domain of $\mathbb {R}^{N}. $ The first one, of the form\[-\Delta_ {p} …

We prove the existence results in the setting of Orlicz spaces for the following nonlinear
elliptic equation: A (u)+ g (x, u, D u)= μ, A (u)+ g (x, u, Du)= μ, where A is a Leray-Lions …

An existence result of a renormalized solution for a class of doubly nonlinear parabolic
equations with variable exponents is established. The main contribution of our work is to …

Let $\Omega\subset\mathbb {R}^{N} $ be a smooth bounded domain, $ H $ a Caratheodory
function defined in $\Omega\times\mathbb {R\times R}^{N}, $ and $\mu $ a bounded Radon …

We study existence and uniqueness of nonnegative solutions to a problem which is
modeled by-Δ pu= u-θ|∇ u| p+ fu-γ in Ω, u= 0 on∂ Ω, where Ω Ω is an open bounded subset …