Singular subelliptic equations and Sobolev inequalities on nilpotent Lie groups

Prashanta Garain, Alexander Ukhlov

Research output: Working paper/PreprintPreprint

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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 languageEnglish GB
StatePublished - 24 Oct 2021

Keywords

  • math.AP
  • 35H20, 22E30, 46E35

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