Solution of limiting extremal problems for minimizing functionals
β Scribed by A. A. Gaivoronskii; A. N. Golodnikov; Ding Le Fung
- Publisher
- Springer US
- Year
- 1980
- Tongue
- English
- Weight
- 501 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1573-8337
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For 0p -1, let S denote the class of functions f z meromorphic univalent p Ε½ . Ε½ . Ε½ . in the unit disk β«ήβ¬ with the normalization f 0 s 0, f Π 0 s 1, and f p s Ο±. Let Ε½ . S a be the subclass of S with the fixed residue a. In this note we determine the p p Ε½ . extreme points of the class S a . As a
## Abstract We consider the family of graphs with a fixed number of vertices and edges. Among all these graphs, we are looking for those minimizing the sum of the square roots of the vertex degrees. We prove that there is a unique such graph, which consists of the largest possible complete subgraph