The Lin-Ni’s problem for mean convex domains

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...

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Bibliographic Details

Main Authors:	Druet, Olivier, Robert, Frédéric, Wei, Juncheng
Format:	eBook Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society 2011
Edition:	1
Series:	Memoirs of the American Mathematical Society
Subjects:	Blowing up (Algebraic geometry) Convex domains Differential equations, Elliptic Neumann problem Neumann elliptic problem critical exponent blow-up
ISBN:	9780821869093, 0821869094
ISSN:	0065-9266, 1947-6221
Online Access:	Get full text
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