Premium
Existence and C 0, α regularity of minima of a functional related to the grid‐generation problem
Author(s) -
Liao G.,
Liu H.
Publication year - 1993
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690090305
Subject(s) - maxima and minima , mathematics , energy functional , grid , functional approach , term (time) , pure mathematics , mathematical analysis , geometry , computer science , physics , quantum mechanics , human–computer interaction
The existence of C 0,α regularity of minima of a functional arising from the grid‐generation problem are provided in the case of n‐dimensional domains. The functional studied in this article is a linear combination of the length functional, the volume functional, and a higher‐order term. The inclusion of the latter guarantees the existence and regularity of a minimum via the direct method for calculus of variations. © 1993 John Wiley & Sons, Inc.