Abstract
In this work we develop a method towards unique solvability of abstract semilinear equations. We use a global diffeomorphism theorem for which we provide a simplified proof. Applications to second order partial differential equations are given. Some additional technical tools about the properties of the Niemytskij operator are also given.
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Bełdziński, M., Galewski, M. & Stegliński, R. Solvability of Abstract Semilinear Equations by a Global Diffeomorphism Theorem. Results Math 73, 122 (2018). https://doi.org/10.1007/s00025-018-0873-y
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DOI: https://doi.org/10.1007/s00025-018-0873-y