Embeddings of anisotropic Sobolev spaces into spaces of anisotropic Hölder-continuous functionsChems Eddine, Nabil (Avtor) Repovš, Dušan (Avtor) anisotropic variable exponent Sobolev spacescritical Sobolev exponentSobolev embeddingsanisotropic Hölder-continuous functionscontinuous embeddingWe 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.20242024-11-20 08:32:43Članek v reviji164996UDK: 517.9ISSN pri članku: 2391-4661DOI: 10.1515/dema-2024-0079COBISS_ID: 215673859sl