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

@inproceedings{Garain2021OnO, title={On \$(p,q)\$-eigenvalues of subelliptic operators on nilpotent Lie groups}, author={Prashanta Garain and A. Ukhlov}, year={2021} }

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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