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We introduce the Characteristic Curvature as the curvature of the trajectories of the hamiltonian vector field with respect to the normal direction to the isoenergetic surfaces and by using the Secon...
Constructing graphs over $R^n$ with small prescribed mean-curvature
$R^n$ with small prescribed mean-curvature
2010/12/1
In this paper a convergent series expansion is constructed to solve the prescribed mean curvature equation ±∇·(∇u/p1 ± |∇u|2) = nH for n-dimensional hypersurfaces in Rn+1 (+ sign) an...