Non-degeneracy for the critical lane-emden system
Rupert L. Frank, Seunghyeok Kim, Angela Pistoia
Abstract
We prove the non-degeneracy for the critical Lane-Emden system (equation presented) 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.
Topics & Concepts
Degeneracy (biology)MathematicsStatistical physicsPhysicsComputer scienceBiologyBioinformaticsNumerical methods for differential equationsDifferential Equations and Numerical MethodsPower System Optimization and Stability