In this paper, we extend the result of Yan and Yang on equations to an elliptic system
involving critical Sobolev and Hardy–Sobolev exponents in bounded domains satisfying …

We consider the following problem where $${\mu\ge 0, 0 < s < 2, 0\in\partial\Omega} $$
and Ω is a bounded domain in R. We prove that if $${N\ge 7, a (0) > 0} $$ and all the …

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+ …

In this paper, we consider the problem -Δu=|u|^2^*-2u+λu in Ω, u=0 on ∂Ω, where Ω is an
open regular bounded subset of \mathbbR^N (N≧3), 2^*=2NN-2 is the critical Sobolev …

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 …

Let $\Omega\subset\R^ N $($ N\geq 3$) be an open domain which is not necessarily
bounded. By using variational methods, we consider the following elliptic systems involving …

&2u= u2* &1+* u in 0 u> 0 in 0(1.1) u= 0 on 0, where 0 is a bounded smooth open subset of
RN, N 3, and 2*=(2N N&2) is the so called critical exponent for Sobolev embedding …

We consider the problem-Δu=| u| 2*-2u+ λu in Ω, u= 0 on∂ Ω, where Ω is an open regular
subset of ℝN (N≥ 3), is the critical Sobolev exponent and λ is a constant in] 0, λ1 [where λ1 …

In this paper, we study the following Dirichlet problem with Sobolev critical exponent {-Δ u=|
u|^ 2^*-2 u+\displaystyle α 2^*| u|^ α-2| v|^ β u, &\quad x ∈ Ω,\-Δ v=| v|^ 2^*-2 v+\displaystyle …

We study the existence of minimizing solutions for an elliptic equation with critical Sobolev
growth on a smooth bounded domain of R 3. We answer in particular two questions of …