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Global inversion theorem to unique solvability of Dirichlet problems
Authors:Marius R?dulescu  Sorin R?dulescu
Affiliation:Centre of Mathematical Statistics, Casa Academiei Române, Calea 13 Septembrie nr. 13, Bucharest 5, RO-76100, Romania
Abstract:Banach-Mazur-Caccioppoli global inversion theorem is applied to obtain a generalization of a result due to Ambrosetti and Prodi concerning unique solvability of a Dirichlet problem for a second-order differential equation.
Keywords:Global inversion theorem   Global homeomorphism   Global diffeomorphism   Dirichlet problem   Banach-Mazur-Caccioppoli theorem
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