Approximation and convergence rate of nonlinear eigenvalues: Lipschitz perturbations of a bounded self-adjoint operator

摘要

Abstract We consider nonlinear eigenvalue problems of the form ( ? ) T x + ? B ( x ) = λ x , where T is a self-adjoint bounded linear operator acting in a real Hilbert space H, and B : H → H is a (possibly) nonlinear continuous perturbation term. Assuming that λ 0