Classification of singularities for a subcritical fully nonlinear problem

• Autores: María del Mar González Nogueras
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 226, Nº 1, 2006, págs. 83-102
• Idioma: inglés
• DOI: 10.2140/pjm.2006.226.83
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• Resumen

  • 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.