Two slope functions minimizing fractional seminorms and applications to misfit dislocations

Autor: De Luca, Lucia, Ponsiglione, Marcello, Spadaro, Emanuele
Rok vydání: 2022
Předmět:
Druh dokumentu: Working Paper
Popis: We consider periodic piecewise affine functions, defined on the real line, with two given slopes and prescribed length scale of the regions where the slope is negative. We prove that, in such a class, the minimizers of $s$-fractional Gagliardo seminorm densities, with $0
Databáze: arXiv