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https://dspace.iiti.ac.in/handle/123456789/6548
| Title: | Variable Exponent Sobolev Spaces and Regularity of Domains |
| Authors: | Karak, Nijjwal |
| Issue Date: | 2021 |
| Publisher: | Springer |
| Citation: | Górka, P., Karak, N., & Pons, D. J. (2021). Variable exponent sobolev spaces and regularity of domains. Journal of Geometric Analysis, 31(7), 7304-7319. doi:10.1007/s12220-020-00499-8 |
| Abstract: | We study the embeddings of variable exponent Sobolev and Hölder function spaces over Euclidean domains, providing necessary and/or sufficient conditions on the regularity of the exponent and/or the domain in various contexts. Concerning the exponent, the relevant condition is log-Hölder continuity; concerning the domain, the relevant condition is the measure density condition. © 2020, The Author(s). |
| URI: | https://doi.org/10.1007/s12220-020-00499-8 https://dspace.iiti.ac.in/handle/123456789/6548 |
| ISSN: | 1050-6926 |
| Type of Material: | Journal Article |
| Appears in Collections: | Department of Mathematics |
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