Subelliptic p-Laplacian spectral problem for Hörmander vector fields
Karazym M. Suragan D.
April 2025John Wiley and Sons Inc
Mathematische Nachrichten
2025#298Issue 41184 - 1200 pp.
Based on variational methods, we study the spectral problem for the subelliptic (Formula presented.) -Laplacian arising from smooth Hörmander vector fields. We derive the smallest eigenvalue, prove its simplicity and isolatedness, establish the positivity of the first eigenfunction, and show Hölder regularity of eigenfunctions with respect to the control distance. Moreover, we determine the best constant for the (Formula presented.) -Poincaré–Friedrichs inequality for Hörmander vector fields as a byproduct.
Hörmander vector fields , spectral problem , subelliptic p$p$-Laplacian
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Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
Department of Mathematics
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