4 citations · 13 across the 14 of their papers we have counts for
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A general nonuniqueness result for Yamabe-type problems for conformally variational Riemannian invariants
João Henrique Andrade, Jeffrey S. Case, Paolo Piccione +1
Given a conformally variational scalar Riemannian invariant , we identify a sufficient condition for a compact Riemannian manifold to admit finite regular coverings with many no…
Complete metrics with constant fractional higher order -curvature on the punctured sphere
João Henrique Andrade, Juncheng Wei, Zikai Ye
This manuscript is devoted to constructing complete metrics with constant higher fractional curvature on punctured spheres with finitely many isolated singularities. Analytically,…
Nonuniqueness results for constant sixth order -curvature metrics on spheres with higher dimensional singularities
João Henrique Andrade, Paolo Piccione, Juncheng Wei
We prove nonuniqueness results for constant sixth order -metrics on complete locally conformally flat -dimensional Riemannian manifolds with . More precisely, a…
Compactness of singular solutions to the sixth order GJMS equation
João Henrique Andrade, João Marcos do Ò, Jesse Ratzkin +1
We study compactness properties of the set of conformally flat singular metrics with constant, positive sixth order Q-curvature on a finitely punctured sphere. Based on a recent cl…