Asymptotic behavior of the ground-state solutions of Lane-Emden system

DOI10.1112/BLMS.13181MaRDI QIDQ6663892

Yichen Hu, TingFeng Yuan, Shaolong Peng, Yuxia Guo

Publication date: 15 January 2025

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Methods of ordinary differential equations applied to PDEs (35A24) Elliptic equations and elliptic systems (35Jxx)

Cites Work

• Infinitely many nonradial solutions for the Hénon equation with critical growth
• Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Multiple blowing-up solutions to critical elliptic systems in bounded domains
• Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two
• Infinite-time blow-up for the 3-dimensional energy-critical heat equation
• Nematic liquid crystal flow with partially free boundary
• A remark on comparison results via symmetrization
• Asymptotic behaviour of ground states
• Singularly Perturbed Methods for Nonlinear Elliptic Problems
• Non-degeneracy for the critical Lane–Emden system
• Sharp constant in a Sobolev inequality
• Non-degeneracy of solution for critical Lane-Emden systems with linear perturbation
• Coron's problem for the critical Lane-Emden system
• Local uniqueness and non-degeneracy of bubbling solution for critical Hamiltonian system
• Infinitely many solutions for Hamiltonian system with critical growth
• On the parabolic gluing method and singularity formation

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