Nguyen Tuan Duy, Le Trung Nghia, Le Long Phi
Abstract:
We investigate sharp Trudinger-Moser type inequalities with the
homogeneous weight satisfying a natural curvature-dimension bound
condition. Also we study the optimal versions of these inequalities
with best constants on both finite and infinite volume domains on
Euclidean spaces.
Submitted July 30, 2019. Published September 10, 2019.
Math Subject Classifications: 35A23, 26D15, 46E35, 46E30.
Key Words: Trudinger-Moser inequalities; homogeneous weights;
best constants; critical growth; exact growth condition.
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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: tuanduy2312@gmail.com |
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Le Trung Nghia Faculty of Mathematics and Statistics Ton Duc Thang University Ho Chi Minh City, Vietnam email: letrungnghia@tdtu.edu.vn |
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Le Long Phi Institute of Research and Development Duy Tan University Da Nang 550000, Vietnam email: lelongphi@duytan.edu.vn |
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