Conformal invariants and nonlinear elliptic equations

• Autores: Matthew J. Gursky
• Localización: Proceedings oh the International Congress of Mathematicians: Madrid, August 22-30,2006 : invited lectures / coord. por Marta Sanz Solé, Javier Soria de Diego, Juan Luis Varona Malumbres, Joan Verdera, Vol. 3, 2006, ISBN 978-3-03719-022-7, págs. 203-212
• Idioma: inglés
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• Resumen

  • We describe several �uniformizing� problems in conformal geometry, all of which can be formulated as problems of existence for solutions of certain elliptic partial differential equations. For the sake of exposition we divide the discussion according to the type of PDE, beginning with semilinear equations related to the scalar curvature, then higher order equations arising from the Q-curvature, and finally fully nonlinear equations.