𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Partial regularity of minimizers of a functional involving forms and maps

✍ Scribed by Mariano Giaquinta; Min-Chun Hong


Book ID
105765949
Publisher
SP Birkhäuser Verlag Basel
Year
2004
Tongue
English
Weight
261 KB
Volume
11
Category
Article
ISSN
1021-9722

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Partial regularity results for minimizer
✍ Manfred Kronz 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 248 KB

We consider minimizers u ∈ W m,p ( , R N ) of uniformly strictly quasiconvex functionals F (u) = f (D m u) dL n of higher order. Here is a domain in R n , m 1, and f is a C 2 -integrand with growth of order p, p 2. Using the technique of harmonic approximation we give a direct proof of almost everyw

Euler-lagrange equation and regularity f
✍ Peter Hornung 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 764 KB

## Abstract Let \input amssym $S\subset{\Bbb R}^2$ be a bounded domain with boundary of class __C__^∞^, and let __g__~__ij__~ = δ~__ij__~ denote the flat metric on \input amssym ${\Bbb R}^2$. Let __u__ be a minimizer of the Willmore functional within a subclass (defined by prescribing boundary cond

Regularity of harmonic maps
✍ Sun-Yung A. Chang; Lihe Wang; Paul C. Yang 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 75 KB

We present an elementary argument of the regularity of weak harmonic maps of a surface into the spheres, as well as the partial regularity of stationary harmonic maps of a higher-dimensional domain into the spheres. The argument does not make use of the structure of Hardy spaces.