اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدLower bound for energies of harmonic tangent unit-vector fields on convex polyhedra
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We derive a lower bound for energies of harmonic maps of convex polyhedra in $ R^3 $ to the unit sphere $S^2,$ with tangent boundary conditions on the faces. We also establish that $C^infty$ maps, satisfying tangent boundary conditions, are dense with respect to the Sobolev norm, in the space of continuous tangent maps of finite energy.
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