Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups

2023/06/13 by Sekhar Ghosh, Vishvesh Kumar, Ghosh, Sekhar +3 · 2 citations
#22E30 #35H20 #35P30 #35R03 #35R11 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2306.07657

Abstract

In this paper, we establish the sharp fractional subelliptic Sobolev inequalities and Gagliardo-Nirenberg inequalities on stratified Lie groups. The best constants are given in terms of a ground state solution of a fractional subelliptic equation involving the fractional p-sublaplacian (1

Cited by

• Fractional Morrey-Sobolev type embeddings and nonlocal subelliptic problems with oscillating nonlinearities on stratified Lie groups
• Fractional Sobolev logarithmic inequalities

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