摘要 : Given a linear semi-bounded symmetric operator , we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators of type (i.e., generators of one-parameter continuous nonlinear semigroups of cont... 展开 Given a linear semi-bounded symmetric operator , we explicitly define, and provide their nonlinear resolvents, nonlinear maximal monotone operators of type (i.e., generators of one-parameter continuous nonlinear semigroups of contractions of type lambda) which coincide with the Friedrichs extension of S on a convex set containing the domain of S. The extension parameter ranges over the set of nonlinear maximal monotone relations in an auxiliary Hilbert space isomorphic to the deficiency subspace of S. Moreover, is a sub-potential operator (i.e., the sub-differential of a lower semicontinuous convex function) whenever is sub-potential. Applications to Laplacians with nonlinear singular perturbations supported on null sets and to Laplacians with nonlinear boundary conditions on a bounded set are given. 收起