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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CITATION STYLE
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