Resumen de Classification of singularities for a subcritical fully nonlinear problem

María del Mar González Nogueras

• We study isolated singularities for a fully nonlinear elliptic PDE of subcritical type. This equation appears in conformal geometry when dealing with the k-curvature of a locally conformally-flat manifold. (The k-curvature generalizes scalar curvature.) We give a classification result: either the function is bounded near the singularity, or it has a specific asymptotic behavior.