On dual-complementary variational principles in mathematical physics Academic Article uri icon

abstract

  • In this paper a theory of dual-complementary variational principles is developed in connection with problems characterized by the equations of the form T*ETu + f = 0. A canonical triple of equations associated with this equation is developed and are shown to be Euler equations for a certain functional. Correspondingly, a dual triple of canonical equations is developed which give rise to a system of equations of the type S E-1Sχ + η = 0. A variety of applications in mathematical physics is discussed. © 1974.

author list (cited authors)

  • Oden, J. T., & Reddy, J. N.

citation count

  • 59

publication date

  • January 1974