The Lin-Ni's problem for mean convex domains / Olivier Druet, Frédéric Robert, Juncheng Wei.

Format:

Book

Author/Creator:

Druet, Olivier, 1976-

Contributor:

Robert, Frédéric, 1974-

Wei, Juncheng, 1968-

Series:

Memoirs of the American Mathematical Society ; no. 1027.

Memoirs of the American Mathematical Society, 0065-9266 ; no. 1027

Language:

English

Subjects (All):

Neumann problem.

Differential equations, Elliptic.

Blowing up (Algebraic geometry).

Convex domains.

Physical Description:

v, 105 pages : illustrations ; 26 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, 2012.

Summary:

Mathematicians Druet (Ecole normale supérieure de Lyon), Frédéric Robert (U. Henri Poincaré, Nancy), and Juncheng Wei (Chinese U. of Hong Kong) prove the validity of Lin-Ni's conjecture in dimension n equals three and n equal to or larger than seven for mean convex domains and with bounded energy. They point out that recent examples by Wang-Wei-Yan show that the bound on the energy is a necessary condition. The topics include smooth domains and extensions of solutions to elliptic equations, a sharp upper-estimate, and estimates of the interior and boundary blow-up rates. There is no index. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

Notes:

"July 2012, volume 218, number 1027 (end of volume)."

Includes bibliographical references.

ISBN:

9780821869093

0821869094

OCLC:

782127444