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The Lin-Ni's Problem for Mean Convex Domains - Memoirs of the American Mathematical Society Olivier Druet
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The Lin-Ni's Problem for Mean Convex Domains - Memoirs of the American Mathematical Society
Olivier Druet
The authors prove some refined asymptotic estimates for positive blow-up solutions to $\Delta u+\epsilon u=n(n-2)u^{\frac{n+2}{n-2}}$ on $\Omega$, $\partial_\nu u=0$ on $\partial\Omega$, $\Omega$ being a smooth bounded domain of $\mathbb{R}^n$, $n\geq 3$. In particular, they show that concentration can occur only on boundary points with nonpositive mean curvature when $n=3$ or $n\geq 7$.
105 pages, Illustrations
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | June 30, 2012 |
| ISBN13 | 9780821869093 |
| Publishers | American Mathematical Society |
| Pages | 105 |
| Dimensions | 150 × 220 × 10 mm · 180 g |
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