Nonlinear diffusions and optimal constants in Sobolev type inequalities: asymptotic behaviour of equations involving the p-Laplacian

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On the minimum f-divergence for given total variation (2006, background): “Recently, these kind of results and its relation with Gagliardo–Nirenberg and generalized Sobolev inequalities have been used in order to obtain the decay rate of solutions of nonlinear diffusion equations—see [4] and references therein.”