A Class of Degenerate Multivalued Second-Order Boundary Value Problems*

The main purpose of this paper is to investigate existence and uniqueness for 1D, double nonlinear and multivalued, degenerate, second-order boundary value problems of the form 0gy p r.G u9 r...9qq r.H u r.., 0-r-1, 1.1. 0g p r.G u9 r...< rs0q, Cgp 1.G u9 1... 1.2. Our assumptions are sufficiently general to cover a wide class of applications. We show by some appropriate examples that the assumptions are quite natural and essential for the validity of our main result stated in Theorem 2.1. A variational interpretation of the above equations is also given.