Remarks on the behavior of the best Sobolev constants

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Abstract

We study the function (Formula presented.) where p > 1, Ω is a bounded domain of ℝ N, N ≥ 2 and p⋆ is the critical exponent of the Sobolev immersion W1,p0(Ω)↪Lq(Ω).

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Ercole, G. (2017). Remarks on the behavior of the best Sobolev constants. Progress in Nonlinear Differential Equations and Their Application, 86, 173–185. https://doi.org/10.1007/978-3-319-19902-3_12

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