Geodesic
The affine Plateau problem
Trudinger, Neil 1   ; Wang, Xu-Jia 2
1 Centre for Mathematics and Its Applications, The Australian National University, Canberra, ACT 0200, Australia
2 Centre for Mathematics and Its Applications, Australian National University, Canberra, ACT 0200, Australia
Journal of the American Mathematical Society, Tome 18 (2005) no. 2, pp. 253-289 Cet article a éte moissonné depuis la source American Mathematical Society

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In this paper, we study a second order variational problem for locally convex hypersurfaces, which is the affine invariant analogue of the classical Plateau problem for minimal surfaces. We prove existence, regularity and uniqueness results for hypersurfaces maximizing affine area under appropriate boundary conditions.
DOI : 10.1090/S0894-0347-05-00475-3

Trudinger, Neil  1   ; Wang, Xu-Jia  2

1 Centre for Mathematics and Its Applications, The Australian National University, Canberra, ACT 0200, Australia
2 Centre for Mathematics and Its Applications, Australian National University, Canberra, ACT 0200, Australia 
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Trudinger, Neil; Wang, Xu-Jia. The affine Plateau problem. Journal of the American Mathematical Society, Tome 18 (2005) no. 2, pp. 253-289. doi: 10.1090/S0894-0347-05-00475-3

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