On a Generalized Gagliardo–Nirenberg Inequality with Radial Symmetry and Decaying Potentials
We present a generalized version of a Gagliardo–Nirenberg inequality characterized by radial symmetry and involving potentials exhibiting pure power polynomial behavior. As an application of our result, we investigate the existence of extremals for this inequality, which also correspond to stationar...
Main Authors: | Mirko Tarulli, George Venkov |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2023-12-01
|
Series: | Mathematics |
Subjects: | |
Online Access: | https://www.mdpi.com/2227-7390/12/1/8 |
Similar Items
-
Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces
by: Dao Nguyen Anh
Published: (2023-07-01) -
The Caffarelli–Kohn–Nirenberg inequalities for radial functions
by: Mallick, Arka, et al.
Published: (2023-10-01) -
On weighted Calderón-Zygmund singular integrals and applications
by: Ahmed Loulit
Published: (2022-02-01) -
On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in R N $\mathbb{R}^{N}$
by: Zhiying Deng, et al.
Published: (2016-09-01) -
Fractional Nonlinearity for the Wave Equation with Friction and Viscoelastic Damping
by: Abdelhamid Mohammed Djaouti, et al.
Published: (2022-10-01)