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 …

Abstract Let p= 2 NN− 2, N≧ 3 be the limiting Sobolev exponent and Ω⊂ ℝ N open
bounded set. We show that for f∈ H− 1 satisfying a suitable condition and f≠ 0, the Dirichlet …

We consider the problem− Δu=| u| p− 1 u+ λu in Ω with ∂ u ∂ n= 0 on δΩ, where Ω is a
bounded domain in RN, p=(N+ 2)/(N− 2) is the critical Sobolev exponent, n the outward …

An existence result for nonlinear elliptic problems involving critical Sobolev exponent -
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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 …

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 …

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 …

A uniqueness result for a semilinear elliptic equation involving the critical Sobolev exponent in
symmetric domains Page 1 Asymptotic Analysis 21 (1999) 99–115 99 IOS Press A uniqueness …

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 …

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 + …