๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Geometric conditions of differentiability for a regular locally Lipschitz function

โœ Scribed by Shi Shuzhong; Wang Bingwu


Book ID
110556297
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1998
Tongue
English
Weight
627 KB
Volume
14
Category
Article
ISSN
1439-7617

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


A new critical point theorem for locally
โœ Xian Wu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 207 KB

In the present paper, a new critical point theorem for locally Lipschitz functions is given, and as applications, one existence and two multiplicity results for zero boundary value problems are obtained. Several important classical theorems are improved.

A differential criterium for regularity
โœ Alessandro Perotti ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 87 KB

Let โ„ฆ โІ C 2 . We prove that there exist differential operators T and N, with complex coefficients, such that a function f : โ„ฆ โ†’ H of class C 1 is regular if and only if (N -jT )f = 0 on โˆ‚โ„ฆ (j a basic quaternion) and f is harmonic on โ„ฆ. At the same time we generalize a result of Kytmanov and Aizenber