An existence theorem for weak solutions for a class of elliptic partial differential systems in Orlicz spaces
β Scribed by Ge Dong; Zhongrui Shi
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 189 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
We prove the existence of a weak solution of the Dirichlet problem for a class of elliptic partial differential systems in separable Orlicz-Sobolev spaces.
π SIMILAR VOLUMES
## Abstract We study the existence of solutions of the general elliptic system of partial differential equations in the space where the principal part may be represented with the help of a CLIFFORDalgebra π. We construct an integral representation and discuss the properties of the kernels.
## Abstract This paper is a continuation of [6]. Here we construct a CAUCHY integral formula and a POMPEJUβrepresentation for elliptic systems of partial differential equations of first order in __R^n^__, which may be described with the help of a CLIFFORDβalgebra. Moreover we study properties of th