20.500.12556/RUL-164996 Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functions We introduce a novel framework for embedding anisotropic variable exponent Sobolev spaces into spaces of anisotropic variable exponent Hölder-continuous functions within rectangular domains. We establish a foundational approach to extend the concept of Hölder continuity to anisotropic settings with variable exponents, providing deeper insight into the regularity of functions across different directions. Our results not only broaden the understanding of anisotropic function spaces but also open new avenues for applications in mathematical and applied sciences. anisotropic variable exponent Sobolev spaces critical Sobolev exponent Sobolev embeddings anisotropic Hölder-continuous functions continuous embedding true false true Angleški jezik Ni določen Članek v reviji 2024-11-20 08:32:43 2024-11-20 08:32:45 2025-06-03 12:08:52 0000-00-00 00:00:00 2024 0 0 10 str. iss. 1, art. 20240079 Vol. 57 Jan. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.9 2391-4661 10.1515/dema-2024-0079 215673859 10.1515_dema-2024-0079.pdf 10.1515_dema-2024-0079.pdf 1 D3A1ACF268BC8463FE8D72F728C8B206 5701617cbdc3b0936d870bd0e3f357a215af6f0b8cf19d846f719744aff02f47 71c5a378-a711-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=195899 https://www.degruyter.com/document/doi/10.1515/dema-2024-0079/html 1 405d79d6-a711-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=195898 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0