Homogeneous Herz spaces with variable exponents and regularity results
In this paper we deal with the second order divergence form operators $\mathcal{L}$ with coefficients satisfying the vanishing mean oscillation property and we prove some regularity results for a solution to $\mathcal{L}u=\mathrm{div}\, f$, where $f$ belongs to homogeneous Herz spaces with variable...
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| Format: | Article |
| Language: | English |
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University of Szeged
2018-10-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6863 |
| _version_ | 1797830526528126976 |
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| author | Andrea Scapellato |
| author_facet | Andrea Scapellato |
| author_sort | Andrea Scapellato |
| collection | DOAJ |
| description | In this paper we deal with the second order divergence form operators $\mathcal{L}$ with coefficients satisfying the vanishing mean oscillation property and we prove some regularity results for a solution to $\mathcal{L}u=\mathrm{div}\, f$, where $f$ belongs to homogeneous Herz spaces with variable exponents $\dot{K}_{p(\cdot)}^{\alpha,q(\cdot)}$. |
| first_indexed | 2024-04-09T13:37:30Z |
| format | Article |
| id | doaj.art-9cd2acd047164cfba92d356339a7351f |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:30Z |
| publishDate | 2018-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-9cd2acd047164cfba92d356339a7351f2023-05-09T07:53:08ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752018-10-0120188211110.14232/ejqtde.2018.1.826863Homogeneous Herz spaces with variable exponents and regularity resultsAndrea Scapellato0University of Catania, Dipartimento di Matematica e informatica, Viale A. Doria, 6, 95125 Catania, ItalyIn this paper we deal with the second order divergence form operators $\mathcal{L}$ with coefficients satisfying the vanishing mean oscillation property and we prove some regularity results for a solution to $\mathcal{L}u=\mathrm{div}\, f$, where $f$ belongs to homogeneous Herz spaces with variable exponents $\dot{K}_{p(\cdot)}^{\alpha,q(\cdot)}$.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6863herz spaceselliptic equationsvmo |
| spellingShingle | Andrea Scapellato Homogeneous Herz spaces with variable exponents and regularity results Electronic Journal of Qualitative Theory of Differential Equations herz spaces elliptic equations vmo |
| title | Homogeneous Herz spaces with variable exponents and regularity results |
| title_full | Homogeneous Herz spaces with variable exponents and regularity results |
| title_fullStr | Homogeneous Herz spaces with variable exponents and regularity results |
| title_full_unstemmed | Homogeneous Herz spaces with variable exponents and regularity results |
| title_short | Homogeneous Herz spaces with variable exponents and regularity results |
| title_sort | homogeneous herz spaces with variable exponents and regularity results |
| topic | herz spaces elliptic equations vmo |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6863 |
| work_keys_str_mv | AT andreascapellato homogeneousherzspaceswithvariableexponentsandregularityresults |