In this paper, we give sufficient conditions for the existence and nonexistence of
nonnegative nontrivial entire weak solutions of p-Laplacian elliptic inequalities, with possibly …

We show that a class of divergence-form elliptic problems with quadratic growth in the
gradient and non-coercive zero order terms are solvable, under essentially optimal …

We study the qualitative behavior of non-negative entire solutions of differential inequalities
with gradient terms on the Heisenberg group. We focus on two classes of inequalities: Δφu⩾ …

In this paper we prove a priori estimates for positive solutions of elliptic equations of the p-
Laplacian type on arbitrary domains of R< sup> N, when a nonlinearity depending on the …

In the present paper we study the Dirichlet problem for an equation involving the 1-
Laplacian and a total variation term as reaction. We prove a strong multiplicity result …

In this paper we consider the nonlinear elliptic problem− Δu+ αu= g (∣∇ u∣)+ λh (x) in Ω,
u= 0 on∂ Ω, where Ω is a smooth bounded domain of ℝN, α≥ 0, g is an arbitrary C1 …

We study the homogeneous Dirichlet problem for some elliptic equations with a first-order
term b (u, Du) which is quadratic in the gradient variable and singular in the u variable at a …

In this paper, we deal with a quasilinear elliptic system in exterior domains with dependence
on the gradient and coupling of the equations not only inside of the domain, but also on the …

In this paper we deal with positive solutions for singular quasilinear problems whose model
is {−∆ u+|∇ u| 2 (1− u) γ= g in Ω, u= 0 on∂ Ω, where Ω is a bounded open set of RN, g≥ 0 is …

In this paper, we prove some pointwise comparison results between the solutions of some
second-order semilinear elliptic equations in a domain Ω Ω of R^ n R n and the solutions of …