Stability of eigenvalues and eigenvectors of variational inequalities. (English) Zbl 0655.49006

Resler, Jaroslav

Commentat. Math. Univ. Carol. 29, No. 3, 541-550 (1988).

Summary: We study the dependence of eigenvectors and eigenvalues of variational inequalities on continuous deformations of the cone. The lower semicontinuity of eigenvalues for general continuous deformations and continuity for continuous invertible deformations is proved.

MSC:

49J40	Variational inequalities
49R50	Variational methods for eigenvalues of operators (MSC2000)
35J85	Unilateral problems; variational inequalities (elliptic type) (MSC2000)
35P30	Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs
49K40	Sensitivity, stability, well-posedness

Keywords:

dependence of eigenvectors and eigenvalues of variational inequalities; continuous deformations