For a planar domain β with at least three boundary points and the β hyperbolic metric of β with constant curvature y1, G. J. Martin poses a problem that asks, if f is a K-quasiconformal self-homeomorphism of β with boundary Ε½ Ε½ .. values given by the identity mapping, whether z, f z F log K holds fo
Extremal Problems for Quasiconformal Mappings
β Scribed by Shen Yu-Liang
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 198 KB
- Volume
- 247
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this article, we consider the following problem. Given four distinct vertices __v__~1~,__v__~2~,__v__~3~,__v__~4~. How many edges guarantee the existence of seven connected disjoint subgraphs __X__~i~ for __i__β=β1,β¦, 7 such that __X__~j~ contains __v__~j~ for __j__β=β1, 2, 3, 4 and
## Abstract The chromatic neighborhood sequence of a graph G is the list of the chromatic numbers of the subgraphs induced by the neighborhoods of the vertices. We study the maximum multiplicity of this sequence, proving, amongst other things, that if a chromatic neighborhood sequence has __t__ dis
## 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
In this paper we extend some Chebyshev and Remez-type inequalities for multivariate polynomials. ## 1997 Academic Press Consider the set P n of complex valued polynomials of m real variables and of total degree at most n: | the uniform norm of p on K, and let ' m (K) be the m-dimensional Lebesque
We consider the semilinear elliptic problem where \* is a nonnegative parameter and g is a positive, nondecreasing, convex nonlinearity. There exists a value \*\* of the parameter which is extremal in terms of existence of solution. We study the linearization of the semilinear problem at the extrem