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math.AP2020
Note on a sign-dependent regularity for the polyharmonic Dirichlet problem
Inka Schnieders, Guido Sweers
A priori estimates for semilinear higher order elliptic equations usually have to deal with the absence of a maximum principle. This note presents some regularity estimates for the…
math.AP2011
Optimal estimates from below for biharmonic Green functions
Hans-Christoph Grunau, Frédéric Robert, Guido Sweers
Optimal pointwise estimates are derived for the biharmonic Green function under Dirichlet boundary conditions in arbitrary -smooth domains. Maximum principles do not exist…