Geodesic
Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains
Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 293-303 
A. Yu. Golovko. Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains. Informatics and Automation, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 293-303. http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a23/
@article{TRSPY_2015_290_a23,
     author = {A. Yu. Golovko},
     title = {Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains},
     journal = {Informatics and Automation},
     pages = {293--303},
     year = {2015},
     volume = {290},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2015_290_a23/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

For irregular domains $G\subset \mathbb R^n$ satisfying the flexible $\sigma $-cone condition, we establish embedding theorems and Gagliardo–Nirenberg type multiplicative inequalities that are anisotropic with respect to the order of derivatives and integrability exponents.

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