Optimal convergence rates for the finite element approximation of the Sobolev constant

arXiv:2504.09637v4 Announce Type: replace Abstract: We establish optimal convergence rates for the continuous piecewise affine finite element approximation of the Sobolev constant in arbitrary dimensions N\geq 2 and for Lebesgue exponents 1Source：https://arxiv.org/abs/2504.09637

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