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Variable Exponent Spaces of Differential Forms on Riemannian Manifold
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-17
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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 obtain the existence and uniqueness of weak solution for Dirichlet problems of nonhomogeneous p(m)-harmonic equations with variable growth in W01,p(m)(ΛkM).
American Psychological Association (APA)
Fu, Yongqiang& Guo, Lifeng. 2012. Variable Exponent Spaces of Differential Forms on Riemannian Manifold. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-994237
Modern Language Association (MLA)
Fu, Yongqiang& Guo, Lifeng. Variable Exponent Spaces of Differential Forms on Riemannian Manifold. Journal of Function Spaces No. 2012 (2012), pp.1-22.
https://search.emarefa.net/detail/BIM-994237
American Medical Association (AMA)
Fu, Yongqiang& Guo, Lifeng. Variable Exponent Spaces of Differential Forms on Riemannian Manifold. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-22.
https://search.emarefa.net/detail/BIM-994237
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-994237