Lyapunov-type Inequalities: With Applications to Eigenvalue Problems by Juan Pablo Pinasco
English | ISBN: 1461485223 | 2013 | 146 pages | PDF | 1 MB
The eigenvalue problems for quasilinear and nonlinear operators present many differences with the linear case, and a Lyapunov inequality for quasilinear resonant systems showed the existence of eigenvalue asymptotics driven by the coupling of the equations instead of the order of the equations. For p=2, the coupling and the order of the equations are the same, so this cannot happen in linear problems.