Introduces flat logarithmic centro-affine geometry yielding weighted Poincaré inequalities and Brunn-Minkowski results for dual quermassintegrals in the unconditional class.
Uniqueness of solutions to a class of non-hom ogeneous curvature problems
2 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 2representative citing papers
Existence for all real p (with symmetry in some cases) and uniqueness for p ≥ 1 under concavity are proved for the weighted L^p Minkowski problem with rotationally invariant measures, plus small-mass results via degree theory.
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Weighted centro-affine Poincar\'e inequalities
Introduces flat logarithmic centro-affine geometry yielding weighted Poincaré inequalities and Brunn-Minkowski results for dual quermassintegrals in the unconditional class.
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The Weighted $L^p$ Minkowski Problem
Existence for all real p (with symmetry in some cases) and uniqueness for p ≥ 1 under concavity are proved for the weighted L^p Minkowski problem with rotationally invariant measures, plus small-mass results via degree theory.