Two slope functions minimizing fractional seminorms and applications to misfit dislocations
De Luca, Lucia, Marcello Ponsiglione, Emanuele Spadaro · arXiv (Cornell University) · 2022
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