Variable Exponent Spaces of Differential Forms on Riemannian Manifold
We introduce the Lebesgue space and the exterior Sobolev space for differential forms on Riemannian manifold 𝑀 which are the Lebesgue space and the Sobolev space of functions on 𝑀, respectively, when the degree of differential forms to be zero. After discussing the properties of these spaces, we obt...
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Main Authors: | Yongqiang Fu, Lifeng Guo |
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Format: | Article |
Language: | English |
Published: |
Wiley
2012-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2012/575819 |
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