Estimates for smooth absolutely minimizing Lipschitz extensions.
Evans, Lawrence C. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Evans, Lawrence C. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Rosset, Edi (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Montefusco, Eugenio (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lindqvist, Peter, Manfredi, Juan J. (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Juutinen, Petri (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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L. Ambrosio, M. Novaga, E. Paolini (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We introduce an intrinsic notion of perimeter for subsets of a general Minkowski space ( a finite dimensional Banach space in which the norm is not required to be even). We prove that this notion of perimeter is equivalent to the usual definition of surface energy for crystals and we study the regularity properties of the minimizers and the quasi-minimizers of perimeter. In the two-dimensional case we obtain optimal regularity results: apart from a singular set (which is -negligible...
Yarur, Cecilia S. (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Marino Belloni, Bernd Kawohl (2004)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the pseudo--laplacian, an anisotropic version of the -laplacian operator for . We study relevant properties of its first eigenfunction for finite and the limit problem as .
Lieberman, Gary M. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Allegretto, Walter, Siegel, David (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Karp, Lavi, Shahgholian, Henrik (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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