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math.AP2026
Weighted Hardy-Sobolev type inequalities with boundary terms
João Marcos do Ã, Marcelo Furtado, Everaldo Medeiros +1
In this paper we establish a new class of weighted Hardy-Sobolev type inequalities under mild monotonicity assumptions on the weight function. As a consequence, we derive the corre…
math.AP2024
Quantitative stability of the total -curvature near minimizing metrics
João Henrique Andrade, Tobias König, Jesse Ratzkin +1
Under appropriate positivity hypotheses, we prove quantitative estimates for the total -th order -curvature functional near minimizing metrics on any smooth, closed -dimen…