Alexandrov's theorem and Serrin's problem: Weak solutions and quantitative stability
?ュ??浜?/span>锛?寮?缈?Zhang, Yi Ru-Ya) ????绌跺??
?ュ??????浣?锛?涓??界?瀛﹂?㈡?板?涓?绯荤?绉?瀛︾??绌堕??/span>
?ュ???堕?达?2024骞?/span>10??24?ワ??ㄥ??锛?16:00--17:30
?ュ???扮?癸?7?锋ゼ 浼?璁??7215
?ュ????瑕?锛?The Alexandrov theorem states that, any compact hypersurface embedded in \mathbb R^n with constant mean curvature is necessarily a sphere. Meanwhile, Serrin's problem concerns a class of overdetermined issues within the framework of partial differential equations. In this talk, we discuss about the relations between these two theorems, highlighting recent developments in their weak formulations and exploring the quantitative stability results.
?ュ????绠?浠?锛?寮?缈硷?涓??界?瀛﹂?㈡?板?涓?绯荤?绉?瀛︾??绌堕?㈠????绌跺??锛??藉?绾т汉??璁″???ラ??????2013骞翠??????板?涓?搴??ㄦ?板?涓?涓????姣?涓?????澹??涓?浜????颁??︽????卞ぇ瀛︼?University of Jyvaskyyla锛?锛?瀵煎?涓?ekka Koskela????锛?涔????????ㄦ尝?╁ぇ瀛﹀??ETH璺???H. Koch??????A. Figalli????(2018骞磋?插??ㄥ??峰???)????澹?????涓昏???绌舵?瑰??涓哄?????锛??芥?扮┖?达?妞?????寰????圭?浠ュ????浣?涓?绛?寮???绋冲??х?锛?宸插?ㄥ?绉???濞??板???蹇???琛ㄥ??????浜???浣?绡???