On the existence of general solution of a first order elliptic systems by fixed-point theorem
β Scribed by A. Mamourian; E. Esrafilian; N. Taghizadeh
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 352 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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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.
In this work, motivated by [T.F. Wu, The Nehari manifold for a semilinear elliptic system involving sign-changing weight function, Nonlinear. Anal. 68 (2008) 1733-1745], and using recent ideas from Brown and Wu [K.J. Brown, T.F. Wu, A semilinear elliptic system involving nonlinear boundary condition