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...

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Hlavní autoři:	Mirko Tarulli, George Venkov
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	MDPI AG 2023-12-01
Edice:	Mathematics
Témata:	fractional Laplacian radially symmetric potential nonhomogeneous potential Gagliardo–Nirenberg inequality nonlocal nonlinearity
On-line přístup:	https://www.mdpi.com/2227-7390/12/1/8
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