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Some Remarks on Elliptic Equations with Singular Potentials and Mixed Boundary Conditions

Boumediene Abdellaoui, Eduardo Colorado and Ireneo Peral

Abstract

We study the problems

where is a smooth bounded domain with 0 ∈ Ω, and , mixed boundary condition. Mainly we will be interested in the behavior of the solutions to (0.1) close to the critical constant in the Hardy-Sobolev inequality, ΛN,γ(Ω,Σ1).

Received: 2004-7-31
Published Online: 2016-3-10
Published in Print: 2004-11-1

© 2016 by Advanced Nonlinear Studies, Inc.