On an Ambrosetti-Prodi Type Problem with Applications in Modeling Real Phenomena

Irina Meghea ()
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Irina Meghea: Department of Mathematical Methods and Models, Faculty of Applied Sciences, National University of Science and Technology Politehnica Bucharest, 313 Splaiul Independentei, 060042 Bucharest, Romania

Mathematics, 2025, vol. 13, issue 14, 1-13

Abstract: This work presents a solving method for problems of Ambrosetti-Prodi type involving p -Laplacian and p -pseudo-Laplacian operators by using adequate variational methods. A variant of the mountain pass theorem, together with a kind of Palais-Smale condition, is involved in order to obtain and characterize solutions for some mathematical physics issues. Applications of these results for solving some physical chemical problems evolved from the need to model real phenomena are displayed. Solutions for Dirichlet problems containing these two operators applied for modeling critical micellar concentration, as well as the volume fraction of liquid mixtures, have been drawn.

Keywords: Ambrosetti-Prodi type problem; modeling real phenomena; mathematical physics problems; p -Laplacian; p -pseudo-Laplacian; variational methods; Dirichlet problem; Sobolev spaces; critical micellar concentration; volume fraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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