New Poincaré-Sobolev inequalities are proved under Choquet δ/n-integrability of gradients w.r.t. Hausdorff content, implying a Sobolev inequality for quasicontinuous W^{1,1}_0 functions.
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A note on Sobolev inequalities in the lower limit case
New Poincaré-Sobolev inequalities are proved under Choquet δ/n-integrability of gradients w.r.t. Hausdorff content, implying a Sobolev inequality for quasicontinuous W^{1,1}_0 functions.