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NON-DEGENERACY FOR THE CRITICAL LANE-EMDEN SYSTEM
- Issue Date
- Jan-2021
- Publisher
- AMER MATHEMATICAL SOC
- Keywords
- Lane-Emden system; critical hyperbola; non-degenerate solution
- Citation
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.149, no.1, pp.265 - 278
- Indexed
- SCIE
SCOPUS
- Journal Title
- PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
- Volume
- 149
- Number
- 1
- Start Page
- 265
- End Page
- 278
- ISSN
- 0002-9939
- 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.
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Related Researcher
- Kim, Seung hyeok
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)