$C^{1,\alpha}$ regularity for elliptic equations with the general nonstandard growth conditions
| Autor: | Sungchol Kim, Dukman Ri |
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| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Mathematica Bohemica, Vol 149, Iss 3, Pp 365-396 (2024) |
| Druh dokumentu: | article |
| ISSN: | 0862-7959 2464-7136 |
| DOI: | 10.21136/MB.2023.0055-23 |
| Popis: | We study elliptic equations with the general nonstandard growth conditions involving Lebesgue measurable functions on $\Omega$. We prove the global $C^{1, \alpha}$ regularity of bounded weak solutions of these equations with the Dirichlet boundary condition. Our results generalize the $C^{1, \alpha}$ regularity results for the elliptic equations in divergence form not only in the variable exponent case but also in the constant exponent case. |
| Databáze: | Directory of Open Access Journals |
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