Normalized eigenvectors for nonlinear abstract and elliptic operators
The authors study the eigenvalue problem \(Au= C(\lambda,u)\), where \(A\) is of type \((S)_+\), \(m\)-accretive, or maximal monotone, while \(C\) is continuous and bounded or compact. Particular emphasis is laid on the existence of eigenvectors with special normalization conditions which are natural in view of applications to elliptic boundary value problems.
scientific article; zbMATH DE number 1333014
scientific article