We discuss the problem–div (a (x,∇ u))= m (x)| u| r (x)− 2 u+ n (x)| u| s (x)− 2 u in Ω, where Ω
is a bounded domain with smooth boundary in ℝ N (N≥ 2), and div (a (x,∇ u)) is ap (x) …

We prove the existence of bounded solutions for a class of nonlinear elliptic problems of
type− div (a (x, u, Du))= H (x, u, Du)+ fu∈ W 1, p 0 (Ω)∩ L∞(Ω) where< a (x, η, ξ) ξ>≥ b …

Let Ω Ω be a C^ 1 C 1 open bounded domain in R^ N,\, N ≥ 3, RN, N≥ 3, with 0 ∈ ̄ Ω. 0∈
Ω¯. We consider the following problem involving Hardy–Sobolev critical …

The aim of this paper is to extend previous results regarding the multiplicity of solutions for
quasilinear elliptic problems with critical growth to the variable exponent case. We prove, in …

EXISTENCE RESULTS FOR NON-UNIFORMLY ELLIPTIC EQUATIONS WITH GENERAL
GROWTH IN THE GRADIENT 1. Introduction In this paper, we dea Page 1 Differential and …

In this paper, we deal with the existence of solutions to the nonuniformly elliptic equation of
the form in RN when f: RN× R→ R behaves like exp (α| u| N/(N− 1)) when| u|→∞ and …

The goal of this paper is to study the existence of non-trivial weak solutions for the
nonuniformly nonlinear elliptic equation in an unbounded domain Ω⊂ RN (N≥ 3), where h …

We are interested in existence of solutions for some typical elliptic systems governed by two
pseudo-laplacian operators with critical Sobolev exponents. We show this result by a local …

This paper deals with the multiplicity of weak solutions in W01 (Ω) to a class of nonuniformly
elliptic equations of the form in a bounded domain Ω of RN. Here a satisfies| a (x, ξ)|≦ c0 (h0 …

In this paper we show the existence of at least three nontrivial solutions to the following
quasilinear elliptic equation [Formula: see text] in a smooth bounded domain Ω of RN with …