Electron. J. Differential Equations, Vol. 2020 (2020), No. 75, pp. 1-12

Cylindrical Hardy inequalities on half-spaces

Nguyen Tuan Duy, Huy Bac Nguyen

We study some versions of the cylindrical Hardy identities and inequalities in the style of Badiale-Tarantello [2]. We show that the best constants of the cylindrical Hardy inequalities can be improved when we consider functions on half-spaces.

Submitted May 24, 2020. Published July 16, 2020.
Math Subject Classifications: 26D10, 35A23, 46E35.
Key Words: Cylindrical Hardy inequality; Bessel pair.

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Nguyen Tuan Duy
Department of Fundamental Sciences
University of Finance-Marketing
2/4 Tran Xuan Soan St., Tan Thuan Tay Ward, Dist. 7
Ho Chi Minh City, Vietnam
email: nguyenduy@ufm.edu.vn
Huy Bac Nguyen
Faculty of Electrical Engineering & Computer Science
Technical University of Ostrava
Czech Republic
email: huy.bac.nguyen.st@vsb.cz

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