»ã±¨±êÌâ (Title)£º Fully nonlinear elliptic equations on manifolds under weaker conditions

ÖÐÎıêÌâ: Á÷ÐÎÉÏÈõÇ°ÌáϵÄÆëÈ«·ÇÏßÐÔÍÖÔ²·½³Ì

»ã±¨ÈË (Speaker)£º¹Ø²¨ ½ÌÊÚ£¨Ohio State University£¬USA£©

»ã±¨¹¦·ò (Time)£º2024Äê4ÔÂ16ºÅ£¨Öܶþ£©14:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

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In this talk we shall first survey results on solving fully nonlinear equations on manifolds, both for the Dirichlet problem and equations on closed manifolds. We shall also discuss the roles of subsolutions and concavity in the study of fully nonlinear PDEs. Then we look at some equations which do not satisfy the standard structure conditions. We shall discuss establishing a priori estimates under weaker conditions.