The Lin Ni s Problem for Mean Convex Domains is popular PDF and ePub book, written by Olivier Druet in 2011, it is a fantastic choice for those who relish reading online the Blowing up (Algebraic geometry) genre. Let's immerse ourselves in this engaging Blowing up (Algebraic geometry) book by exploring the summary and details provided below. Remember, The Lin Ni s Problem for Mean Convex Domains can be Read Online from any device for your convenience.
The Lin Ni s Problem for Mean Convex Domains Book PDF Summary
We prove some refined asymptotic estimates for positive blow-up solutions to Δu+[epsilon]u = n(n−2)un+2n−2 on Ω, ∂νu=0 on ∂Ω, Ω being a smooth bounded domain of Rn, n≥3. In particular, we show that concentration can occur only on boundary points with nonpositive mean curvature when n=3 or n≥7. As a direct consequence, we prove the validity of the Lin-Ni's conjecture in dimension n=3 and n≥7 for mean convex domains and with bounded energy. Recent examples by Wang-Wei-Yan show that the bound on the energy is a necessary condition.
Detail Book of The Lin Ni s Problem for Mean Convex Domains PDF
- Author : Olivier Druet
- Release : 21 September 2024
- Publisher : Unknown
- ISBN : 0821890166
- Genre : Blowing up (Algebraic geometry)
- Total Page : 105 pages
- Language : English
- PDF File Size : 11,7 Mb
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