Extremal problem for functional of area

T.V. Lomako (Institute of Applied Mathematics and Mechanics, NAS of Ukraine)
R.R. Salimov (Institute of Applied Mathematics and Mechanics, NAS of Ukraine)


In the present article, the generalization of Lavrent'ev problem about the estimate of area of image of the circle is studied. It is shown that the above estimate in the investigated class is precise.


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DOI: https://doi.org/10.15421/240912



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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991