Publications:
(with H. Chang-Lara and A. Saldaña) "Fractional Q-curvature on the sphere and optimal partitions" (arxiv)
(with E. Guerra, O. Palmas and B. Percino) "A geometric reduction method for some fully nonlinear first-order PDEs on semi-Riemannian manifolds" (arxiv)
(with O. Palmas and J. Torres-Orozco) "Equivariant Solutions to the Optimal Partition Problem for the Prescribed Q-Curvature Equation". Journal of Geometric Analysis. (journal) (arxiv)
(with D. Corro and R. Perales) "Yamabe problem in the presence of singular Riemannian Foliations". Calculus of Variations and Partial Differential Equations. (journal) (arxiv)
(with M. Clapp and A. Saldaña) "Critical polyharmonic systems and optimal partitions", Communications on Pure and Applied Analysis (2021). (journal) (arxiv)
(with O. Palmas) "An ODE reduction method for the semi Riemannian Yamabe problem on space forms", Nonlinear Analysis (2021). (journal) (arxiv)
(with O. Palmas and J. Petean) "Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces", Discrete and Continuous Dynamical Systems (2020). (journal) (arxiv)
(with J. Petean) "Low energy nodal solutions to the Yamabe problem", Journal of Differential Equations (2020). (journal) (arxiv)
(with M. Clapp) "Multiplicity of nodal solutions to the Yamabe problem", Calculus of Variations and Partial Differential Equations (2017). (journal) (arxiv)
(with M. Clapp) "Multiple solutions to the Bahri-Coron problem in a bounded domain without a thin neighborhood of a manifold", Topological Methods in Nonlinear Analysis (2015). (journal).