»ã±¨±êÌâ (Title)£ºVERY WEAK SOLUTIONS OF THE DIRICHLET PROBLEM FOR 2-HESSIAN EQUATION£¨2-HESSIAN ·½³ÌµÄµÒÀû¿ËÀ×ÎÊÌâµÄ¼«Èõ½â£©

»ã±¨ÈË (Speaker)£ºÇñ¹úå¾ ¸±×êÑÐÔ±£¨ÖпÆÔºÊýѧËù£©

»ã±¨¹¦·ò (Time)£º2024Äê5ÔÂ7ÈÕ(Öܶþ) 12:30

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

Ô¼ÇëÈË(Inviter)£ºÏ¯¶«ÃË¡¢Àî½ú¡¢Õŵ¿­¡¢Îâ¼ÓÓÂ

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»ã±¨ÌáÒª£ºWeyl's lemma states that every weak solution of Laplace's equation is also a smooth solution. We find that there is no Weyl's lemma for 2-Hessian equations. For any ¦Á small, we construct infinitely many C 1,¦Á very weak solutions to the 2- Hessian equation with prescribed boundary value. This is joint work with Tongtong Li.