engleski

Minimization of asymptotic energy of Muller's functional endowed with local nonlinear lower- order term

We solve a minimization problem associated to a generalization of the Müller functional studied in the paper G. Alberti, S. Müller: A new approach to variational problems with multiple scales, Comm. Pure Appl. Math. 54, 761–825 (2001), whereby the lower order term R 1 0 a(s)v2(s)ds (involving a primitive of the mass density function, v = v(s), and the weight function a = a(s)) is replaced by R 1 0 a(s ; v(s) ; v0(s))v2(s)ds (where a belongs to a suitable Carathéodory class). We calculate the rescaled asymptotic energy of the functional as small parameter epsilon tends to zero

Muller's functional, perturbation, aysmptotic analysis

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