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

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
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