Accessible Requires Authentication Published by De Gruyter March 10, 2016

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

Boumediene Abdellaoui, Eduardo Colorado and Ireneo Peral


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.