Results 161 to 170 of about 1,128 (190)

On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality

Bulletin of the London Mathematical Society, 1998
Geometric asymptotics of the sharp Sobolev embedding constant are used to derive the logarithmic Sobolev inequality. A new proof characterizing the extremals is given using the entropic form of the Hausdorff-Young inequality.
Beckner, William, Pearson, Michael
openaire   +2 more sources

Degenerate Sobolev inequalities from the classical Sobolev inequality

Analysis and Mathematical Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dal, Feyza Elif, Cruz-Uribe, David, ZEREN, Yusuf, Rodney, Scott   +3 more
openaire   +2 more sources

HEISENBERG'S INEQUALITY IN SOBOLEV SPACES

Acta Mathematica Scientia, 2000
The inequality that is known as Heisenberg's uncertainty principle is extended to Sobolev spaces by using Weyl symbols, pseudodifferential operators and parametrized Fourier transforms. The result is supposed to be applicable to those problems in quantum mechanics which cannot be adequately modelled by the Hilbert space formalism.
Qi, Minyou, Tian, Guji
openaire   +2 more sources

Sobolev inequalities on homogeneous spaces

Potential Analysis, 1995
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BIROLI, MARCO, MOSCO U.
openaire   +3 more sources

Hardy-Sobolev Inequalities in a Cone

Journal of Mathematical Sciences, 2006
Summary: The attainability of the exact constant in the Hardy--Sobolev inequality is established in an arbitrary cone in \(\mathbb R^n\).
openaire   +1 more source

Sobolev Inequalities for Weighted Gradients

Communications in Partial Differential Equations, 2006
We study symmetry, existence, and uniqueness properties of extremal functions for the weighted Sobolev inequality where x ∈ ℝ m , y ∈ ℝ k with m,k ≥ 1 and n = m + k, α > 0, and Q = m + k(α + 1).
openaire   +1 more source

Sharp gradient stability for the Sobolev inequality

Duke Mathematical Journal, 2022
Alessio Figalli, Yi Ru-Ya Zhang
exaly  

Logarithmic Sobolev Inequalities

American Journal of Mathematics, 1975
openaire   +2 more sources

Best constant in Sobolev inequality

Annali Di Matematica Pura Ed Applicata, 1976
Giorgio Talenti, Talenti Giorgio
exaly  

Bounds on the deficit in the logarithmic Sobolev inequality

Journal of Functional Analysis, 2014
Nathael Gozlan
exaly