A. Majumdar

activity

20042009

most citedEnergies of S^2-valued harmonic maps on polyhedra with tangent boundary conditions

4 citations · 4 across the 2 of their papers we have counts for

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math-ph2004

Elastic energy of liquid crystals in convex polyhedra

A Majumdar, JM Robbins, M Zyskin

We consider nematic liquid crystals in a bounded, convex polyhedron described by a director field n(r) subject to tangent boundary conditions. We derive lower bounds for the one-co…

math-ph2004

Lower bound for energies of harmonic tangent unit-vector fields on convex polyhedra

A. Majumdar, J. M. Robbins, M. Zyskin

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 tha…