K Cerqueti - Asymptotic Analysis, 1999 - content.iospress.com
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 …
F Huang - Proceedings of the Royal Society of Edinburgh Section …, 1996 - cambridge.org
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 …
A Capozzi, D Fortunato, G Palmieri - Annales de l'Institut Henri Poincaré C …, 1985 - Elsevier
An existence result for nonlinear elliptic problems involving critical Sobolev exponent - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & Books Search …
G Tarantello - Annales de l'Institut Henri Poincaré C, Analyse non …, 1992 - Elsevier
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 …
D Fortunato, E Jannelli - Proceedings of the Royal Society of …, 1987 - cambridge.org
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 …
M Zuluaga - Revista matemática iberoamericana, 1989 - eudml.org
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+ …
DM Cao, HS Zhou - Zeitschrift für angewandte Mathematik und Physik …, 1996 - Springer
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 + …
M Comte, MC Knaap - manuscripta mathematica, 1990 - Springer
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 …