Generalization of p-regularity notion and tangent cone description in the singular case

Autor:	Wiesław Grzegorczyk, Alexey A. Tret'yakov, Beata Medak
Rok vydání:	2012
Předmět:	Nonlinear system Pure mathematics Singularity Zero set Generalization Mathematical analysis Tangent cone General Earth and Planetary Sciences Point (geometry) Singular case General Environmental Science Mathematics
Zdroj:	Annales UMCS, Mathematica. 66
ISSN:	2083-7402 0365-1029
DOI:	10.2478/v10062-012-0014-0
Popis:	The theory of p-regularity has approximately twenty-five years’ history and many results have been obtained up to now. The main result of this theory is description of tangent cone to zero set in singular case. However there are numerous nonlinear objects for which the p-regularity condition fails, especially for p > 2. In this paper we generalize the p-regularity notion as a starting point for more detailed consideration based on different p-factor operators constructions.
Databáze:	OpenAIRE
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