Liouville theorems for Kirchhoff-type parabolic equations and system on the Heisenberg group
Author:
Affiliation:
1. School of Mathematics and Statistics, Beijing Institute of Technology , Beijing 100081 , China
Abstract
Publisher
Walter de Gruyter GmbH
Subject
General Mathematics
Link
https://www.degruyter.com/document/doi/10.1515/math-2023-0133/pdf
Reference31 articles.
1. G. Kirchhoff, Mechanik, B. G. Teubner, Leipzig, 1883.
2. Y. H. Li, F. Y. Li, and J. P. Shi, Existence of a positive solution to Kirchhoff type problems without compactness conditions, J. Differential Equations 253 (2012), 2285–2294, DOI: https://doi.org/10.1016/j.jde.2012.05.017.
3. N. Garofalo and E. Lanconelli, Existence and non existence results for semilinear equations on the Heisenberg group, Indiana Univ. Math. J. 41 (1992), 71–97, DOI: https://doi.org/10.1512/iumj.1992.41.41005.
4. I. Birindelli, I. C. Dolcetta, and A. Cutrí, Liouville theorems for semilinear equations on the Heisenberg group, Ann. Inst. H. Poincaré Anal. Non Linéaire 14 (1997), 295–308, DOI: https://doi.org/10.1016/S0294-1449(97)80138-2.
5. H. Fujita, On the blowing up of solutions of the Cauchy problem for ut=Δu+u1+α, J. Fac. Sci. Univ. Tokyo Sect. I 13 (1966), 109–124.
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