In this paper, we mainly study the R m (m > 0) Riemann boundary value problems for functions with values in a Clifford algebra Cl(V 3,3 ). We prove a generalized Liouville-type theorem for harmonic functions and biharmonic functions by combining the growth behaviour estimates with the series expansi
On the Riemann Hilbert type problems in Clifford analysis
β Scribed by Ricardo Abreu Blaya; Juan Bory Reyes
- Publisher
- Springer
- Year
- 2001
- Tongue
- English
- Weight
- 475 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0188-7009
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π SIMILAR VOLUMES
We discuss a class of solutions to the Ernst equation (the stationary axisymmetric Einstein equations) obtained as solutions of a generalized scalar Riemann-Hilbert problem on a hyperelliptic Riemann surface. The singular structure of these solutions is studied for arbitrary genus of the Riemann sur
## Abstract This paper concerns the existence of nontrivial solutions of the RiemannβHilbert problem with a continuous coefficient whose values belong to two rays in the complex plane. Our results extend those recently obtained by E. Shargorodsky and J. F. Toland [6]. (Β© 2004 WILEYβVCH Verlag GmbH