The purpose of this paper is to study the existence of weak solutions for some classes of one-
parameter subelliptic gradient-type systems involving a Sobolev–Hardy potential defined on …

In this paper we aim to describe some results related to nonlinear elliptic problems with
critical growth. In particular, we shall emphasize the role of the fundamental solutions of the …

On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical
Sobolev exponents Page 1 Z angew Math Phys 47 (1996) 0044-2275/96/010089-08 $ 1.50 + …

In this paper we study the existence of nontrivial solutions for the boundary value problem {−
Δ u− λ u− u| u| 2⁎− 2= 0 in Ω u= 0 on∂ Ω when Ω⊂ R n is a bounded domain, n⩾ 3, 2⁎= 2 …

An existence result for nonlinear elliptic problems involving critical Sobolev exponent -
ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …

We obtain everywhere 𝒞α-regularity for vector solutions to a class of nonlinear elliptic
systems whose principal part is the Euler operator to a variational integral∫ F (u,∇ u) dx …

We study the following elliptic equation involving weight and variable exponents− div (φ
(x,|∇ u|)∇ u)+| u| p (x)− 2u= λ| u| r (x)− 2u− h (x)| u| s (x)− 2u in Ω⊂ RN (N≥ 3), with …

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

Abstract Let Ω⊂ ℝ N be a smooth bounded domain such that 0∈ Ω, N≥ 3, 0≤ s< 2, 2*(s)=
2 (N− s)/(N− 2). We prove the existence of nontrival solutions for the singular critical problem …

We discuss existence results for a quasi-linear elliptic equation of critical Sobolev growth
[3],[14] in the low-dimensional case, where the problem has a global character which is …