Abstract
In this article we study singular subelliptic $p$-Laplace equations and best constants in Sobolev inequalities on nilpotent Lie groups. We prove solvability of these subelliptic $p$-Laplace equations and existence of the minimizer of the corresponding variational problem. It leads to existence of the best constant in the corresponding $(q,p)$-Sobolev inequality, $0
Original language | English GB |
---|---|
State | Published - 24 Oct 2021 |
Keywords
- math.AP
- 35H20, 22E30, 46E35