Variational methods for nonlinear elliptic eigenvalue problems
Felix E. Browder · Bulletin of the American Mathematical Society · 1965
In the present note, we give a simple general proof for the existence of solutions of the following two types of variational problems: PROBLEM A. To minimize fa F(x> u, • • • , Dmu)dx over a subspace VofWm>*(tt). PROBLEM B. TO minimize ƒ « F(x, w, • • • , Dmu)dx for u in V with