Uniqueness of absolute minimizers of L-infinity functional involving Hamiltonian functions H(x,p)

In this talk, I will describe a uniqueness result of absolute minimizers of Hamiltonian functions H(x,p), provided (i) H is lower semicontinuous, and H(x,p) is convex in p; (ii) 0 = H(x,0) ≤ H(x,p) and ∪x{p : H(x,p) = 0} is contained in a hyperplane of Rn; (iii) H(x,p) is uniformly coercive in p.Non UBCUnreviewedAuthor affiliation: Mathematics, Purdue UniversityFacult