Intersection number and eigenvectors of quasilinear Hilbert-Schmidt operators

Анотація

For the spesial class of quasilinear operators a topologocal construction is described with the help of which existence theorems of normalized eigen- vectors may be obtained. The construction is based on utilization of an intersection number of two Hilbert submanifolds one of which is generated by the given operator and another is anchanged.