ON (p, q)-EIGENVALUES OF SUBELLIPTIC OPERATORS ON HOMOGENEOUS LIE GROUPS

Prashanta Garain; Alexander Ukhlov

ON (p, q)-EIGENVALUES OF SUBELLIPTIC OPERATORS ON HOMOGENEOUS LIE GROUPS

Prashanta Garain, Alexander Ukhlov

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this article, we study the nonlinear Dirichlet (p, q)-eigenvalue problem for subelliptic operators defined by the left-invariant vector which satisfy the Hörmander condition. We prove both the solvability of the eigenvalue problem and the existence of the minimizer of the corresponding variational problem.

Original language	English
Pages (from-to)	207-216
Number of pages	10
Journal	Transactions of A. Razmadze Mathematical Institute
Volume	176
Issue number	2
State	Published - 1 Aug 2022

Keywords

Carnot groups
Eigenvalue problem
Subelliptic operators

ASJC Scopus subject areas

General Mathematics

Cite this

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abstract = "In this article, we study the nonlinear Dirichlet (p, q)-eigenvalue problem for subelliptic operators defined by the left-invariant vector which satisfy the H{\"o}rmander condition. We prove both the solvability of the eigenvalue problem and the existence of the minimizer of the corresponding variational problem.",

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AU - Ukhlov, Alexander

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N2 - In this article, we study the nonlinear Dirichlet (p, q)-eigenvalue problem for subelliptic operators defined by the left-invariant vector which satisfy the Hörmander condition. We prove both the solvability of the eigenvalue problem and the existence of the minimizer of the corresponding variational problem.

AB - In this article, we study the nonlinear Dirichlet (p, q)-eigenvalue problem for subelliptic operators defined by the left-invariant vector which satisfy the Hörmander condition. We prove both the solvability of the eigenvalue problem and the existence of the minimizer of the corresponding variational problem.

KW - Carnot groups

KW - Eigenvalue problem

KW - Subelliptic operators

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JO - Transactions of A. Razmadze Mathematical Institute

JF - Transactions of A. Razmadze Mathematical Institute

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ON (p, q)-EIGENVALUES OF SUBELLIPTIC OPERATORS ON HOMOGENEOUS LIE GROUPS

Abstract

Keywords

ASJC Scopus subject areas

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