Let Ω be a bounded domain in Rn (n≧ 3) with Lipschitz-continuous boundary,∂ Ω= Γ0∪
Γ1. In this paper we consider the following problem: where φ∈ L2 (Γ1), φ≢ 0 on Γ1 and γ is …

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 + …

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

In this paper we study the following boundary value problemwhere Ω is a bounded domain
in Rn, n≧ 3, x∈ Rn, p*= 2n/(n–2) is the critical exponent for the Sobolev embedding is a …

Abstract top Let Ω be a bounded domain in Rn with n≥ 3. In this paper we are concerned
with the problem of finding u∈ H01 (Ω) satisfying the nonlinear elliptic problemsΔu+| u|(n+ …

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 …

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 …

We consider the boundary value problemwhere Ω⊂ ℝn is a bounded domain, n≧ 3, 2*=
2n/(n− 2) is the critical exponent for the Sobolev embedding and λ is a real positive …

Let⊂ RN, N≥ 3 be bounded a domain with smooth boundary@. Depending on the
parameters a; b; c∈ R;; ÿ¿ 1; we shall investigate the existence and non-existence of …

(1) av’ Page 1 Nonlmear Analysis, Theory, Methods & Appl,cat,ons, Vol. 17, No. 10, pp. 973-989,
1991. 0362-546X/91 $3.00+ .oO Prmted in Great Britain. ~9 1991 Pergamon Press plc …