52 citations · 130 across the 32 of their papers we have counts for
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math.AP2015
A characterization of the Khavinson-Shapiro conjecture via Fischer operators
Hermann Render
The Khavinson-Shapiro conjecture states that ellipsoids are the only bounded domains in euclidean space satisfying the following property (KS): the solution of the Dirichlet proble…
math.AP2015
The Khavinson-Shapiro conjecture for domains with a boundary consisting of algebraic hypersurfaces
Hermann Render
The Khavinson-Shapiro conjecture states that ellipsoids are the only bounded domains in euclidean space satisfying the following property (KS): the solution of the Dirichlet proble…
math.AP2015
A symmetry property for polyharmonic functions vanishing on equidistant hyperplanes
Ognyan Kounchev, Hermann Render
Let be a polyharmonic function of order defined on the strip satisfying the growth condition $$ \sup_{t\in K}\lef…