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A reduced study for nematic equilibria on two-dimensional polygons. (English) Zbl 1446.35204

35Q82 PDEs in connection with statistical mechanics
76A15 Liquid crystals
82D30 Statistical mechanical studies of random media, disordered materials (including liquid crystals and spin glasses)
35J20 Variational methods for second-order elliptic equations
35B32 Bifurcations in context of PDEs
35A01 Existence problems for PDEs: global existence, local existence, non-existence
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
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