Optimal estimates from below for biharmonic Green functions
نویسندگان
چکیده
منابع مشابه
Optimal Estimates from below for Biharmonic Green Functions
Optimal pointwise estimates are derived for the biharmonic Green function in arbitrary C4,γ -smooth domains. Maximum principles do not exist for fourth order elliptic equations and the Green function may change sign. It prevents using a Harnack inequality as for second order problems and hence complicates the derivation of optimal estimates. The present estimate is obtained by an asymptotic ana...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2010
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2010-10740-2