Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints. Memoirs of the American Mathematical Society; 915.. This item is unavailable.Degree theory for operators of monotone type and nonlinear elliptic equations with inequality constraints. Memoirs of the American Mathematical Society; 915.

In the first part of this paper, the authors examine the degree map of multivalued perturbations of nonlinear operators of monotone type and prove that at a local minimizer of the corresponding Euler functional, this degree equals one. Then they use this result to prove multiplicity results for certain classes of unilateral problems with nonsmooth potential (variational-hemivariational inequalities). They also prove a multiplicity result for a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) whose subdifferential exhibits an asymmetric asymptotic behavior at $ \infty$ and $-\infty$.