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 …

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 …

Infinitely many arbitrarily small solutions for singular elliptic problems with critical Sobolev–Hardy
exponents Page 1 Proceedings of the Edinburgh Mathematical Society (2009) 52, 97–108 c …

We study the existence and the multiplicity of solutions for the problem− div (p (x)∇ u)=
u2∗− 1+ λu, u> 0 in Ω and u= 0 on∂ Ω, when the set of the minimizers for the weight p has …

~) Pergamon Page 1 ~) Pergamon Nonlinear Analysis, Theory, Methods & Applications, Vol.
26, No. 12. pp. 1965-1984, 1996 Copyright © 1996 Elsevier Science Ltd Printed in Great …

We consider the following problem: where is continuous on RN and h (x)≢ 0. By using
Ekeland's variational principle and the Mountain Pass Theorem without (PS) conditions …

We investigate the existence and multiplicity of solutions to the following $ p (x) $-Laplacian
problem in $\mathbb {R}^{N} $ via critical point theory\begin {equation*}\left\{\begin {array}{l} …

Let $\Omega\subset R^ N $ be a bounded domain such that $0\in\Omega, N\geq 3, 2^*=\frac
{2N}{N-2},\lambda\in R,\epsilon\in R $. Let $\{u_n\}\subset H_0^ 1 (\Omega) $ be a (PS) …

In this paper, we will prove the existence of infinitely many solutions for the following elliptic
problem with critical Sobolev growth and a Hardy potential:-Δ u-μ| x|^ 2 u=| u|^ 2^ ∗-2 u+ …

We consider elliptic equations in bounded domains Ω⊂ RN with nonlinearities which have
critical growth at+∞ and linear growth λ at−∞, with λ> λ1, the first eigenvalue of the …