Electron. J. Differential Equations, Vol. 2020 (2020), No. 33, pp. 1-10.

Hardy and Caffarelli-Kohn-Nirenberg inequalities with nonradial weights

Nguyen Tuan Duy, Le Long Phi, Nguyen Thanh Son

We study the Hardy type inequalities and Caffarelli-Kohn-Nirenberg type inequalities with nonradial weights of the form $| x_1| ^{A_1}\cdots| x_N| ^{A_N}/ |x| ^{\lambda}$.

Submitted Mach 6, 2020. Published April 13, 2020.
Math Subject Classifications: 26D10, 35A23, 46E35.
Key Words: Hardy inequality; Caffarelli-Kohn-Nirenberg inequality; monomial weight; radial derivation; best constant.

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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
Le Long Phi
Institute of Research and Development
Duy Tan University, Da Nang 550000, Vietnam
email: lelongphi@duytan.edu.vn
Nguyen Thanh Son
Faculty of Mathematics and Statistics
Ton Duc Thang University
Ho Chi Minh City, Vietnam
email: 186007013@student.tdtu.edu.vn, sonynhubao@gmail.com

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