Results 21 to 30 of about 259 (139)
Hardy’s inequalities for Sobolev functions [PDF]
Mathematical Research Letters, 1997 In this interesting paper, the authors develop a natural approach to estimates for Sobolev functions using fractional maximal operators. While some of the basic underlying estimates are known, the authors develop the subject systematically and decover new results or produce new proofs for known ones.
Kinnunen, Juha, Martio, Olli
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Sobolev inequalities for products of powers [PDF]
Transactions of the American Mathematical Society, 1989 The paper gives sufficient conditions on a pair of weight functions u, v in \({\mathbb{R}}^ n\), \(n>1\), so that the Sobolev inequality \[ (\int | f(x)|^ q u(x)dx)^{1/q}\leq C(\int | \nabla f(x)|^ p v(x)dx)^{1/p} \] holds for every \(f\in C^{\infty}_ 0({\mathbb{R}}^ n)\) with ...
Gatto, A. Eduardo, Wheeden, Richard L.
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Transport inequalities and Concentration of measure*
ESAIM: Proceedings and Surveys, 2015 We give a short introduction to the concentration of measure phenomenon and connect it with different functional inequalities (Poincaré, Talagrand and Log-Sobolev inequalities).
Gozlan Nathael
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Remarks on a Hardy–Sobolev inequality
Comptes Rendus. Mathématique, 2003 We compute the optimal constant for a generalized Hardy–Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some optimal functions. This inequality was motivated by a nonlinear elliptic equation arising in astrophysics.
Smets, D, Willem, M, SECCHI, SIMONE
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Hypercontractive semigroups and Sobolev’s inequality [PDF]
Transactions of the American Mathematical Society, 1975 If H ⩾ 0 ...
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Symmetrization inequalities and Sobolev embeddings [PDF]
Proceedings of the American Mathematical Society, 2006 We prove new extended forms of the Pólya-Szegö symmetrization principle. As a consequence new sharp embedding theorems for generalized Besov spaces are proved, including a sharpening of the limiting cases of the classical Sobolev embedding theorem. In particular, a surprising self-improving property of certain Sobolev embeddings is uncovered.
Martín i Pedret, Joaquim, Milman, Mario
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On Korn-Maxwell-Sobolev inequalities
Journal of Mathematical Analysis and Applications, 2021 We establish a family of inequalities that allow one to estimate the $\mathrm{L}^{q}$-norm of a matrix-valued field by the $\mathrm{L}^{q}$-norm of an elliptic part and the $\mathrm{L}^{p}$-norm of the matrix-valued curl. This particularly extends previous work by Neff et al. and, as a main novelty, is applicable in the regime $p=1$.
Franz Gmeineder, Daniel Spector
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Trace principle for Riesz potentials on Herz-type spaces and applications
Journal of Inequalities and ApplicationsWe establish trace inequalities for Riesz potentials on Herz-type spaces and examine the optimality of conditions imposed on specific parameters.
M. Ashraf Bhat, G. Sankara Raju Kosuru
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On Gaussian interpolation inequalities
Comptes Rendus. MathématiqueThis paper is devoted to Gaussian interpolation inequalities with endpoint cases corresponding to the Gaussian Poincaré and the logarithmic Sobolev inequalities, seen as limits in large dimensions of Gagliardo–Nirenberg–Sobolev inequalities on spheres ...
Brigati, Giovanni +2 more
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
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