Non-degeneracy for the critical Lane–Emden system

DOI10.1090/proc/15217zbMath1464.35097arXiv1908.11122OpenAlexW3036991729MaRDI QIDQ5146552

Angela Pistoia, Seunghyeok Kim, Rupert L. Frank

Publication date: 26 January 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.11122

zbMATH Keywords

critical hyperbolaLane-Emden systemnon-degenerate solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order elliptic systems (35J47)

Related Items (7)

On some weighted fourth-order equations ⋮ Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents ⋮ Coron's problem for the critical Lane-Emden system ⋮ Local uniqueness and non-degeneracy of bubbling solution for critical Hamiltonian system ⋮ Existence and non-degeneracy of positive multi-bubbling solutions to critical elliptic systems of Hamiltonian type ⋮ Multiple blowing-up solutions to critical elliptic systems in bounded domains ⋮ Some weighted fourth-order Hardy-Hénon equations

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• On a Sobolev inequality with remainder terms
• Asymptotic behaviour of ground states
• Sharp constant in a Sobolev inequality
• Remainder terms in the fractional Sobolev inequality

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