Sobolev anisotropic inequalities with monomial weights

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Abstract

We derive some anisotropic Sobolev inequalities in Rn with a monomial weight in the general setting of rearrangement invariant spaces. Our starting point is to obtain an integral oscillation inequality in multiplicative form.

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Feo, F., Martín, J., & Posteraro, M. R. (2022). Sobolev anisotropic inequalities with monomial weights. Journal of Mathematical Analysis and Applications, 505(1). https://doi.org/10.1016/j.jmaa.2021.125557

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