Multiplicity results for asymptotically linear equations, using the rotation number approach
- Authors: Dalbono F; Zanolin F
- Publication year: 2007
- Type: Articolo in rivista (Articolo in rivista)
- OA Link: http://hdl.handle.net/10447/64693
Abstract
By using a topological approach and the relation between rotation numbers and weighted eigenvalues, we give some multiplicity results for the boundary value problem u+ f(t, u)=0, u(0) = u(T)=0, under suitable assumptions on f(t, x)/x at zero and infinity. Solutions are characterized by their nodal properties