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math.AP2026
Optimal partition and segregation problems driven by torsional rigidity
Gabriele Fioravanti, Nicola Soave, Giorgio Tortone
Spectral optimal partition and segregation problems are deeply connected with harmonic maps, eigenfunctions, and the fine structure of nodal sets for linear elliptic equations. In…
math.AP2026
A Priori Regularity Estimates for Ratio of Solutions to Elliptic Equations with a Product Structure of Two-Dimensional Nodal Sets
Gabriele Fioravanti
In this paper, we establish optimal a priori regularity estimates for the ratio of two solutions to the same elliptic equation $-\operatorname{div}(A \nabla u )…