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math.AP2024
Existence of higher degree minimizers in the magnetic skyrmion problem
Cyrill B. Muratov, Theresa M. Simon, Valeriy V. Slastikov
We demonstrate existence of topologically nontrivial energy minimizing maps of a given positive degree from bounded domains in the plane to in a variational model des…
math.AP2024★ 2 cited
Reduced theory of symmetric and antisymmetric exchange interactions in nanowires
Giovanni Di Fratta, Filipp N. Rybakov, Valeriy Slastikov
We investigate the behavior of minimizers of perturbed Dirichlet energies supported on a wire generated by a regular simple curve and defined in the space of -val…