On singular solutions of Lane-Emden equation on the Heisenberg group

On singular solutions of Lane-Emden equation on the Heisenberg group

By applying the gluing method, we construct infinitely many axial symmetric singular positive solutions to the Lane-Emden equation: on the Heisenberg group , where , and is the homogeneous dimension of

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Veröffentlicht in:Advanced nonlinear studies 2023-11, Vol.23 (1), p.385-406
Hauptverfasser: Wei, Juncheng, Wu, Ke
Format: Artikel
Sprache:eng
Schlagworte:
gluing method
Heisenberg group
Lane-Emden equation
Primary: 35A21, 35B09
Secondary: 35J60
singular solutions
supercritical exponent
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Zusammenfassung:By applying the gluing method, we construct infinitely many axial symmetric singular positive solutions to the Lane-Emden equation: on the Heisenberg group , where , and is the homogeneous dimension of
ISSN:2169-0375
2169-0375
DOI:10.1515/ans-2023-0084