Proceedings of the National Academy of Sciencesâ€¦

1965

I Berger, M., "Sur quelques varigtes riemanniennes compactes d'Einstein," Compt. Rend., 260, 1554-1557 (1965). 2 Bishop, R. L., and R. J. Crittenden, Geometry of Manifolds (New York: Academic Press,â€¦ (More)

We put forward in the present paper a general and very simple principle concerning order relations which unifies a number of diverse results in nonlinear functional analysis. These results includeâ€¦ (More)

Contents 1. Introduction. 2. Models of PDE 's in the 18th and 19th century. 3. Methods of calculating solutions in the 19th century. 4. Developments of rigorous theories of solvability in the lastâ€¦ (More)

It is the object of the present note to present a new nonlinear version of the orthogonal projection method for proving the existence of solutions of nonlinear elliptic boundary value problems. Theâ€¦ (More)

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, â€¢ â€¢ â€¢ , Du)dx over a subspaceâ€¦ (More)