Necessary and Sufficient conditions for Existence of Solutions of a Divergence-type Variational Problem
نویسنده
چکیده
We look for necessary and sufficient conditions for the existence of solutions of the minimization problem (P) inf Ω f (P Du(x)) dx : u ∈ u ζ 0 + W m,∞ 0 (Ω; R N) where P D is a particular type of differential operator of order m, (which we identify as of divergence type) and the boundary data u ζ 0 satisfes P Du ζ 0 (x) = ζ0 for ζ0 ∈ R given.
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