Revisiting an idea of Brézis and Nirenberg
Journal
Journal of Functional Analysis
Journal Volume
259
Journal Issue
7
Pages
1816-1849
Date Issued
2010
Author(s)
Abstract
Let n≥3 and Ω be a C1 bounded domain in R{double-struck}n with 0ε∂Ω. Suppose ∂. Ω is C2 at 0 and the mean curvature of ∂. Ω at 0 is negative, we prove the existence of positive solutions for the equation:. (0.1){δu+λun+2/n-2+u2*(s)-1/|x|s=0 in Ω, u=0 on ∂Ω, where λ>0, 00and1≤p< n/n-2. © 2010 Elsevier Inc.
Type
journal article