Solvability of abstract semilinear equations by a global diffeomorphism theorem
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abstractdiffeomorphismequationsglobalsemilinearsolvabilitytheoremapplications
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In this work we proivied a new simpler proof of the global diffeomorphism theorem from [9] which we further apply to consider unique solvability of some abstract semilinear equations. Applications to the second order Dirichlet problem driven by the Laplace operator are given.
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