Quantitative stability for the fractional Hardy inequality is established via localized Poincaré-Sobolev inequalities, Lorentz embeddings, and Emden-Fowler analysis for the p=2 case, yielding a new nonlocal Hardy-Heisenberg uncertainty principle.
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A geometric construction based on a generalized Coriolis force yields explicit global non-stationary solutions to the Euler equations on selected 2D and 3D manifolds, with full classification in 2D and partial in 3D.
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Quantitative stability for fractional Hardy inequalities: Rearrangement-free techniques and Emden-Fowler analysis
Quantitative stability for the fractional Hardy inequality is established via localized Poincaré-Sobolev inequalities, Lorentz embeddings, and Emden-Fowler analysis for the p=2 case, yielding a new nonlocal Hardy-Heisenberg uncertainty principle.
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Exact non-stationary solutions of the Euler equations in two and three dimensions
A geometric construction based on a generalized Coriolis force yields explicit global non-stationary solutions to the Euler equations on selected 2D and 3D manifolds, with full classification in 2D and partial in 3D.