Gagliardo-Nirenberg inequalities on manifolds
Nadine Badr
TL;DR
This paper establishes Gagliardo-Nirenberg inequalities on various mathematical structures including manifolds, Lie groups, and graphs, expanding the scope of these inequalities beyond Euclidean spaces.
Contribution
The paper introduces new Gagliardo-Nirenberg inequalities applicable to manifolds, Lie groups, and graphs, broadening their mathematical and geometric contexts.
Findings
Inequalities hold on manifolds, Lie groups, and graphs
Extension of classical inequalities to non-Euclidean structures
Potential applications in analysis and geometry
Abstract
We prove Gagliardo-Nirenberg inequalities on some classes of manifolds, Lie groups and graphs.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Partial Differential Equations · Advanced Mathematical Modeling in Engineering