3 papers
math.AP2026
Minimizing tangent maps into complex projective space
Matilde Gianocca, André Guerra, David Ziener
We classify all nonconstant smooth harmonic maps and whose 0-homogeneous extensions are minimizing: they are, respec…
math.AP2026
Nonconstant weakly harmonic maps with constant trace
David Ziener
We construct a nonconstant weakly harmonic map from a three-dimensional ball into the two-sphere with constant trace. This gives an affirmative answer to a question raised by Riviè…
math.AP2026
Logarithmic capacity and torsion in planar shape optimization
David Ziener
We study a family of functionals involving a product of logarithmic capacity and torsional rigidity. Using several geometric inequalities, we identify the discs as the only maximiz…