Existence and  C  0, α  regularity of minima of a functional related to the grid‐generation problem | Zendy

Liao G. | Zendy; Liu H. | Zendy

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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.

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