Principal frequency of p-sub-Laplacians for general vector fields
Ruzhansky M. Sabitbek B. Suragan D.
2021European Mathematical Society Publishing House
Zeitschrift für Analysis und ihre Anwendungen
2021#40Issue 197 - 109 pp.
In this paper, we prove the uniqueness and simplicity of the principal frequency (or the first eigenvalue) of the Dirichlet p-sub-Laplacian for general vector fields. As a byproduct, we establish the Caccioppoli inequalities and also discuss the particular cases on the Grushin plane and on the Heisenberg group.
Caccioppoli inequality , P-sub-Laplacian , Picone’s identity , Principal frequency , Smooth manifold
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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, 9000, Belgium
School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London, E1 4NS, United Kingdom
Department of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan
Department of Mathematics, Nazarbayev University, Nursultan, 010000, Kazakhstan
Department of Mathematics: Analysis
School of Mathematical Sciences
Department of Mechanics and Mathematics
Department of Mathematics
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