Caractère lipschitzien d'une distance associée à des champs de vecteurs engendrant une algèbre de Lie de rang maximal. Quelques conséquences. (Lipschitzian character of a distance associated to vector fields generated by a Lie algebra of maximal rank
DOI10.5802/aif.1207zbMath0711.35051OpenAlexW2320870287MaRDI QIDQ923230
Michel Hervé, Rose-Marie Hervé
Publication date: 1990
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1990__40_1_131_0
Degenerate elliptic equations (35J70) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Special properties of functions of several variables, Hölder conditions, etc. (26B35)
Cites Work
- Balls and metrics defined by vector fields. I: Basic properties
- The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity
- Wiener criterion for a class of degenerate elliptic operators
- The Poincaré inequality for vector fields satisfying Hörmander's condition
- Les fonctions surharmoniques dans l'axiomatique de Monsieur Brelot associées à un opérateur elliptique dégénéré. (Superharmonic functions in the axiomatics of Monsieur Brelot associated with a degenerate elliptic operator)
- On Harnack's theorem for elliptic differential equations
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