On p,q-eigenvalues of subelliptic operators on nilpotent Lie groups

Prashanta Garain; Alexander Ukhlov

doi:https://doi.org/10.48550/arXiv.2110.07263

On _p,q-eigenvalues of subelliptic operators on nilpotent Lie groups

Prashanta Garain, Alexander Ukhlov

Department of Mathematics

Research output: Working paper/Preprint › Preprint

35 Downloads (Pure)

Abstract

In the article we study the Dirichlet (p,q)-eigenvalue problem for subelliptic non-commutative operators on nilpotent Lie groups. We prove solvability of this eigenvalue problem and existence of the minimizer of the corresponding variational problem.

Original language	English
DOIs	https://doi.org/10.48550/arXiv.2110.07263
State	Published - 14 Oct 2021

Keywords

math.AP
35P30, 22E30, 46E35

Access to Document

https://doi.org/10.48550/arXiv.2110.07263

Cite this

@techreport{1ba61f2cb4134765a3fe336bb6effa5f,

title = "On p,q-eigenvalues of subelliptic operators on nilpotent Lie groups",

abstract = "In the article we study the Dirichlet (p,q)-eigenvalue problem for subelliptic non-commutative operators on nilpotent Lie groups. We prove solvability of this eigenvalue problem and existence of the minimizer of the corresponding variational problem.",

keywords = "math.AP, 35P30, 22E30, 46E35",

author = "Prashanta Garain and Alexander Ukhlov",

note = "10 pages",

year = "2021",

month = oct,

day = "14",

doi = "https://doi.org/10.48550/arXiv.2110.07263",

language = "English",

type = "WorkingPaper",

}

TY - UNPB

T1 - On p,q-eigenvalues of subelliptic operators on nilpotent Lie groups

AU - Garain, Prashanta

AU - Ukhlov, Alexander

N1 - 10 pages

PY - 2021/10/14

Y1 - 2021/10/14

N2 - In the article we study the Dirichlet (p,q)-eigenvalue problem for subelliptic non-commutative operators on nilpotent Lie groups. We prove solvability of this eigenvalue problem and existence of the minimizer of the corresponding variational problem.

AB - In the article we study the Dirichlet (p,q)-eigenvalue problem for subelliptic non-commutative operators on nilpotent Lie groups. We prove solvability of this eigenvalue problem and existence of the minimizer of the corresponding variational problem.

KW - math.AP

KW - 35P30, 22E30, 46E35

U2 - https://doi.org/10.48550/arXiv.2110.07263

DO - https://doi.org/10.48550/arXiv.2110.07263

M3 - Preprint

BT - On p,q-eigenvalues of subelliptic operators on nilpotent Lie groups