Variational resolution for some general classes of nonlinear evolutions.   Part I
  We develop a variational technique for some wide classes of nonlinear evolutions. The novelty here is that we derive the main information directly from the corresponding Euler-Lagrange equations. In particular, we prove that not only the minimizer of the appropriate energy functional but also any critical point must be a solution of the corresponding evolutional system. 
Arkady Poliakovsky
math.AP