https://neckpinch.com/authors/oscar-palmas/New arXiv papers by Oscar Palmas, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2305.06573/arxiv:2305.06573Thu, 11 May 2023 00:00:00 GMTJuan Carlos Fernández, Oscar Palmas, Jonatán Torres Orozco — We study the optimal partition problem for the prescribed constant Q-curvature equation induced by the higher order conformal operators under the effect of cohomogeneity one actions on Einstein manifolds with positive scalar curvature. This allows us to give a precise description of the solution domains and their boundaries in terms of the orbits of the action. We also prove the existence of least energy symmetric solutions to a weakly coupled elliptic system of prescribed Q-curvature equations under weaker assumptions and conclude a multiplicity result of sign-changing solutions to the prescribed constant Q-curvature problem induced by the Paneitz-Branson operator. Moreover, we study the coercivity of GJMS-operators on Ricci solitons, compute the Q-curvature of these manifolds, and give a multiplicity result for the sign-changing solutions to the Yamabe problem with prescribed number of nodal domains on the Koiso-Cao Ricci soliton.Ricci solitonsEinstein metricsScalar curvatureHomogeneous spaces