Abstract
For irregular domains G ⊂ Rn satisfying the flexible σ-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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Original Russian Text © A.Yu. Golovko, 2015, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2015, Vol. 290, pp. 293–303.
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Golovko, A.Y. Additive and multiplicative anisotropic estimates for integral norms of differentiable functions on irregular domains. Proc. Steklov Inst. Math. 290, 277–287 (2015). https://doi.org/10.1134/S0081543815060243
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DOI: https://doi.org/10.1134/S0081543815060243