A note on a global invertibility of mappings on R^(n)
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🧮 math.CA
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conditionsglobalinvertibilitycaseclassicalcriticaldiffeomorphismdifferentiable
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We provide sufficient conditions for a mapping $f:R^{n}\rightarrow R^{n}$ to be a global diffeomorphism in case it is strictly (Hadamard) differentiable. We use classical local invertibility conditions together with the non-smooth critical point theory.
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