A free boundary optimization problem for the ∞-Laplacian

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Teymurazyan, Rafayel¹  Urbano, Jose Miguel¹ 

[1] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal

关键词: Free boundary problems;    Heat conduction;    Infinity-Laplace operator;    Optimal regularity;   

DOI  :  10.1016/j.jde.2017.03.010

来源: Elsevier

【 摘 要 】

We study a free boundary optimization problem in heat conduction, ruled by the infinity Laplace operator, with lower temperature bound and a volume constraint. We obtain existence and regularity results and derive geometric properties for the solution and the free boundaries. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free