Pseudo-linear superposition principle for the Monge-Ampère equation based on generated pseudo-operations |
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| Authors: | Doretta Vivona,Ivana &Scaron tajner-Papuga |
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| Affiliation: | a Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Sapienza-Università di Roma, Via A. Scarpa 10, 00161 Rome, Italy
b Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovi?a 4, 21000 Novi Sad, Serbia |
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| Abstract: | Through this paper, we consider generated pseudo-operations of the following form: x⊕y=g−1(g(x)+g(y)), x⊙y=g−1(g(x)g(y)), where g is a continuous generating function. Pseudo-linear superposition principle, i.e., the superposition principle with this type of pseudo-operations in the core, for the Monge-Ampère equation is investigated. |
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| Keywords: | Pseudo-operations Pseudo-superposition principle Monge-Ampè re equation |
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