Geometric conditions of differentiability for a regular locally Lipschitz function
โ 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.
๐ SIMILAR VOLUMES
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.
Let โฆ โ C 2 . We prove that there exist differential operators T and N, with complex coefficients, such that a function f : โฆ โ H of class C 1 is regular if and only if (N -jT )f = 0 on โโฆ (j a basic quaternion) and f is harmonic on โฆ. At the same time we generalize a result of Kytmanov and Aizenber