6 citations · 6 across the 4 of their papers we have counts for
4 papers
On a formula for all sets of constant width in 3d
Bernd Kawohl, Guido Sweers
In the recent paper "On a formula for sets of constant width in 2D", Comm. Pure Appl. Anal. 18 (2019), 2117-2131, we gave a constructive formula for all 2d sets of constant width.…
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…
Differences between fundamental solutions of general higher order elliptic operators and of products of second order operators
Hans-Christoph Grunau, Giulio Romani, Guido Sweers
We study fundamental solutions of elliptic operators of order with constant coefficients in large dimensions , where their singularities become unbounded. For co…
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…