322 research outputs found
Properties of entire solutions of non-uniformly elliptic equations arising in geometry and in phase transitions
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A notable family of entire intrinsic minimal graphs in the Heisenberg group which are not perimeter minimizing
No full textOne of the main objectives of this paper is to unravel it new interesting phenomenon of the sub-Riemannian Bernstein problem with respect to its Euclidean ancestor, with the purpose of also indicating a possible line of attack toward its solution. We show that the global intrinsic graphs (1.2) are unstable critical points of the horizontal perimeter. As a consequence of this fact, the study of the stability acquires a central position in the problem itself
Non-doublingAhlfors measures, Perimeter measures, and the characterization ofthe trace space of Sobolev functions in Carnot-Carathéodoryspaces
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Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Caratheodory spaces
No full textVariationalinequalities with lack of ellipticity. I. Optimal interiorregularity and non-degeneracy of the free boundary
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