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arXiv · 2110.07263

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

Prashanta Garain·Alexander Ukhlov
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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.

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Prashanta Garain, Alexander Ukhlov. 2021-10-14. On $(p,q)$-eigenvalues of subelliptic operators on nilpotent Lie groups. https://arxiv.org/abs/2110.07263

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