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**Frank, Rupert L. ORCID: https://orcid.org/0000-0001-7973-4688; Kim, Seunghyeok and Pistoia, Angela (2021): NON-DEGENERACY FOR THE CRITICAL LANE-EMDEN SYSTEM. In: Proceedings of the American Mathematical Society, Vol. 149, No. 1: pp. 265-278**

**Full text not available from 'Open Access LMU'.**

DOI: 10.1090/proc/15217

## Abstract

We prove the non-degeneracy for the critical Lane-Emden system -Delta U = V-p, -Delta V = U-q, U, V > 0 in R-N for all N >= 3 and p, q > 0 such that 1/p+1 + 1/q+1 = N-2/N. We show that all solutions to the linearized system around a ground state must arise from the symmetries of the critical Lane-Emden system provided that they belong to the corresponding energy space or they tend to zero at infinity.

Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics |

Subjects: | 500 Science > 510 Mathematics |

ISSN: | 0002-9939 |

Language: | English |

Item ID: | 98167 |

Date Deposited: | 05. Jun 2023, 15:28 |

Last Modified: | 13. Aug 2024, 12:46 |