Alt–Caffarelli–Friedman monotonicity formula and mean value properties in Carnot groups with applications
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s40574-023-00393-5.pdf
Reference25 articles.
1. Alt, H.W., Caffarelli, L.A., Friedman, A.: Variational problems with two phases and their free boundaries. Trans. Am. Math. Soc. 282(2), 431–461 (1984)
2. Stratified Lie groups and potential theory for their sub-Laplacians;A Bonfiglioli,2007
3. Caffarelli, L., Salsa, S.: A geometric approach to free boundary problems. In: Graduate Studies in Mathematics, vol. 68. American Mathematical Society, Providence (2005)
4. Citti, G., Garofalo, N., Lanconelli, E.: Harnack’s inequality for sum of squares of vector fields plus a potential. Am. J. Math. 115(3), 699–734 (1993)
5. Fabes, E.B., Garofalo, N.: Mean value properties of solutions to parabolic equations with variable coefficients. J. Math. Anal. Appl. 121(2), 305–316 (1987)
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1. Some counterexamples to Alt–Caffarelli–Friedman monotonicity formulas in Carnot groups;Annali di Matematica Pura ed Applicata (1923 -);2024-07-29
2. Nonlinear asymptotic mean value characterizations of holomorphic functions;ESAIM: Control, Optimisation and Calculus of Variations;2024
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