On singular solutions of Lane-Emden equation on the Heisenberg group
Author:
Affiliation:
1. Department of Mathematics, University of British Columbia , Vancouver , B.C., V6T 1Z2 , Canada
2. School of Mathematics and Statistics, Wuhan University , Wuhan , Hubei, 430072 , China
Abstract
Publisher
Walter de Gruyter GmbH
Subject
General Mathematics,Statistical and Nonlinear Physics
Link
https://www.degruyter.com/document/doi/10.1515/ans-2023-0084/pdf
Reference15 articles.
1. C. Afeltra, Singular periodic solutions to a critical equation in the Heisenberg group, Pacific J. Math. 305 (2020), no. 2, 385–406.
2. I. Birindelli, I. Capuzzo Dolcetta, and A. Cutrà, Liouville theorems for semilinear equations on the Heisenberg group, Ann. Inst. H. Poincaré C Anal. Non Linéaire 14 (1997), no. 3, 295–308.
3. I. Birindelli and J. Prajapat, Nonlinear Liouville theorems in the Heisenberg group vip the moving plane method, Comm. Partial Differential Equations 24 (1999), no. 9–10, 1875–1890.
4. E. N. Dancer, Y. Du, and Z. Guo, Finite Morse index solutions of an elliptic equation with supercritical exponent, J. Differential Equations 250 (2011), no. 8, 3281–3310.
5. E. N. Dancer, Z. Guo, and J. Wei, Non-radial singular solutions of the Lane-Emden equation in Rn, Indiana Univ. Math. J. 61 (2012), no. 5, 1971–1996.
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