Existence and C0, α regularity of minima of a functional related to the grid‐generation problem
Guojun Liao, H. Liu · Numerical Methods for Partial Differential Equations · 1993
Abstract The existence of C0,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.