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math.AP2023
Variational eigenvalues of the subelliptic -Laplacian
Mukhtar Karazym
We use the Lusternik-Schnirelman theory to prove the existence of a nondecreasing sequence of variational eigenvalues for the subelliptic -Laplacian subject to the Dirichlet bou…
math.AP2023★ 2 cited
Subelliptic -Laplacian spectral problem for Hörmander vector fields
Mukhtar Karazym, Durvudkhan Suragan
Based on variational methods, we study the spectral problem for the subelliptic -Laplacian arising from smooth Hörmander vector fields. We derive the smallest eigenvalue, prove…