Eigenvalue problems for variational inequalities
Contributions:
Characterization of the first eigenvalue
through the minimum of the Rayleigh quotient over a
convex cone.
The first eigenvalue is the smallest point of bifurcation of
associated nonlinear problems.
Existence
of higher eigenvalues for a class of problems.
The first eigenvalue
for the simply supported convex plate is simple and the associated eigenfunction is from the same sign.
Continuation
results for eigenvalue problems for variational inequalities.
Stability
criteria for unilateral problems, applications to the beam and the plate.