Sobolev spaces with variable exponents on Riemannian manifolds
In this article we study variable exponent Sobolev spaces on Riemannian manifolds. The spaces are examined in the case of compact manifolds. Continuous and compact embeddings are discussed. The paper contains an example of the application of the theory to elliptic equations on compact manifolds.
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| Veröffentlicht in: | Nonlinear analysis 2013-11, Vol.92, p.47-59 |
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| container_title | Nonlinear analysis |
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| creator | Gaczkowski, Michał Górka, Przemysław |
| description | In this article we study variable exponent Sobolev spaces on Riemannian manifolds. The spaces are examined in the case of compact manifolds. Continuous and compact embeddings are discussed. The paper contains an example of the application of the theory to elliptic equations on compact manifolds. |
| doi_str_mv | 10.1016/j.na.2013.06.012 |
| format | Article |
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| ispartof | Nonlinear analysis, 2013-11, Vol.92, p.47-59 |
| issn | 0362-546X 1873-5215 |
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| subjects | Exponents Lebesgue spaces with variable exponents Manifolds Mathematical analysis Nonlinearity Riemannian manifolds Sobolev space Sobolev spaces |
| title | Sobolev spaces with variable exponents on Riemannian manifolds |
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