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math.DG2026
Existence of Yamabe stability optimizers
João Henrique Andrade, Tobias König, Jesse Ratzkin +1
We prove the existence of stability optimizers for the Yamabe inequality on closed Riemannian manifolds of dimension at least three with positive Yamabe invariant that satisfy two…
math.AP2026
Weighted Hardy-Sobolev type inequalities with boundary terms
João Marcos do Ò, 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…