An application of a global lifting method for homogeneous Hörmander vector fields to the Gibbons conjecture
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00030-019-0594-2.pdf
Reference30 articles.
1. Ambrosio, L., Cabré, X.: Entire solutions of semilinear elliptic equations in $${\mathbb{R}}^3$$ and a conjecture of De Giorgi. J. Am. Math. Soc. 13, 725–739 (2000)
2. Barlow, M.T., Bass, R.F., Gui, C.: The Liouville property and a conjecture of De Giorgi. Commun. Pure Appl. Math. 8, 1007–1038 (2000)
3. Battaglia, E., Biagi, S., Bonfiglioli, A.: The strong maximum principle and the Harnack inequality for a class of hypoelliptic non-Hörmander operators. Ann. Inst. Fourier (Grenoble) 66, 589–631 (2016)
4. Berestycki, H., Hamel, F., Monneau, R.: One-dimensional symmetry of bounded entire solutions of some elliptic equations. Duke Math. J. 103, 375–396 (2000)
5. Biagi, S., Bonfiglioli, A.: The existence of a global fundamental solution for homogeneous Hörmander operators via a global lifting method. Proc. Lond. Math. Soc. (3) 114, 855–889 (2017)
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