Towards Nonlinearity: The p-Regularity Theory

We present recent advances in the analysis of nonlinear problems involving singular (degenerate) operators. The results are obtained within the framework of p-regularity theory, which has been successfully developed over the past four decades. We illustrate the theory with applications to degenerate...

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Bibliographic Details
Published in:	Entropy (Basel, Switzerland) Vol. 27; no. 5; p. 518
Main Authors:	Bednarczuk, Ewa, Brezhneva, Olga, Leśniewski, Krzysztof, Prusińska, Agnieszka, Tret’yakov, Alexey A.
Format:	Journal Article
Language:	English
Published:	Switzerland MDPI AG 12.05.2025 MDPI
Subjects:	Analysis Banach spaces Boundary value problems Computational mathematics degenerate problems Differential equations Dynamical systems implicit function theorem Mathematical analysis nonlinear differential equations Nonlinear equations nonlinear optimization Nonlinearity Numerical analysis Numerical methods operator equations Operators (mathematics) Optimization Parameters Partial differential equations Regularity New York United States Germany Russia numerical methods p-regularity singularities degenerate problems operator equations nonlinear differential equations implicit function theorem nonlinear optimization
ISSN:	1099-4300, 1099-4300
Online Access:	Get full text
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