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Complete Integrability of a Nonlinear Elliptic System, Generating Bi-umbilical Foliated Semi-symmetric Hypersurfaces in R^4 Пълна интегруемост на една нелинейна елиптична система, пораждаща би-омбилични фолирани полусиметрични хиперповърхнини в R^4

Kutev, Nikolai;  Milousheva, Velichka — 2010

Union of Bulgarian Mathematicians

Николай Кутев, Величка Милушева - Намираме експлицитно всичките би-омбилични фолирани полусиметрични повърхнини в четиримерното евклидово пространство R^4 We find explicitly all bi-umbilical foliated semi-symmetric hypersurfaces in the four- dimensional Euclidean space. *2000 Mathematics Subject Classification: 35A07, 35J60, 53A07, 53A10. The second author is partially supported by “L. Karavelov” Civil Engineering Higher School, Sofia, Bulgaria under Contract No 10/2009.

Hardy-Type Inequalities with Weights

Fabricant, Alexander;  Kutev, Nikolai;  Rangelov, Tsviatko — 2015

Serdica Mathematical Journal

[Fabricant Alexander; Фабрикант Александър]; [Kutev Nikolai; Кутев Николай]; [Rangelov Tsviatko; Рангелов Цвятко] Hardy-type inequality with weights is derived in abstract form. Particular cases are presented to demonstrate the applicability of the method and to show generalizations of existing results. Sharpness of inequalities is proved and the results are illustrated with several examples. 2010 Mathematics Subject Classification: 26D10.

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