The Euler Equation and¶Absolute Minimizers of L∞ Functionals
- Cite this article as:
- Barron, E., Jensen, R. & Wang, C. Arch. Rational Mech. Anal. (2001) 157: 255. doi:10.1007/PL00004239
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This equation has been derived for smooth absolute minimizers, i.e., a function which minimizes F on every subdomain. We prove in this paper that for m=1, n≧ 1, or n=1, m≧ 1 an absolute minimizer of F exists in Wg1, ∞(Ω, ℝm and for m= 1, n≧ 1 any absolute minimizer of F must be a viscosity solution of the Aronsson-Euler equation.