论文信息 - Calculus of Variations On the equation det ∇ u = f with no sign hypothesis

Calculus of Variations On the equation det ∇ u = f with no sign hypothesis

We prove existence of u ∈ Ck( ; Rn) satisfying { det ∇u(x) = f (x) x ∈ u(x) = x x ∈ ∂ where k ≥ 1 is an integer, is a bounded smooth domain and f ∈ Ck( ) satisfies ∫ f (x)dx = meas with no sign hypothesis on f. Mathematics Subject Classification (2000) 35F30

B. Dacorogna | G. Cupini | O. Kneuss

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