𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Boundary Regularity of Weakly Harmonic Maps from Surfaces

✍ Scribed by J. Qing


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
249 KB
Volume
114
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Regularity of harmonic maps
✍ Sun-Yung A. Chang; Lihe Wang; Paul C. Yang πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 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.

Bubbling of the heat flows for harmonic
✍ Jie Qing; Gang Tian πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 131 KB

In this article we prove that any Palais-Smale sequence of the energy functional on surfaces with uniformly L 2 -bounded tension fields converges pointwise, by taking a subsequence if necessary, to a map from connected (possibly singular) surfaces, which consist of the original surfaces and finitely

On the Regularity of Harmonic Functions
✍ Lawrence E. Thomas πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 140 KB

A growth lemma for certain discrete symmetric Laplacians defined on a lattice Z d Ξ΄ = Ξ΄Z d βŠ‚ R d with spacing Ξ΄ is proved. The lemma implies a De Giorgi theorem, that the harmonic functions for these Laplacians are equi-HΓΆlder continuous, Ξ΄ β†’ 0. These results are then applied to establish regularity

Extension of Weakly and Strongly F-Regul
✍ Ian M Aberbach πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 92 KB

We note that the Gorenstein assumption on the fiber is essential, even if R is regular. Even weakening the assumption on the fiber to ‫-ޑ‬Gorenstein 1 The author was partially supported by the NSF.

On a Class of Weakly Regular Singular Tw
✍ R.K. Pandey πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 373 KB

dedicated to professor r. k. s. rathore on his 42 nd birthday Existence of a unique solution of a class of weakly regular singular two point boundary value problems &( p(x) y$)$=p(x) f (x, y), 00 on (0, b); (ii) p(x) # C 1 (0, r), and for some r>b; (iii) xp$(x)Γ‚p(x) is analytic in [z: |z| <r] with T