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

Published 14 Oct 2021 in math.AP | (2110.07263v1)

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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