@UNPUBLISHED{publication1, title = "Nash equilibria in N-person games with super-quadratic Hamiltonians", author = "{EBMEYER, Carsten} and {URBANO, Jos{\'{e}} Miguel} and {VOGELGESANG, Jens}", year = "2018-01-05", abstract = "

We consider the Hamilton-Jacobi-Bellman system

\∂tu \− \&\#8710;u = H(u,\∇u) + f

for u \∈ RN, where the Hamiltonian H(u,\∇u) satisfies a super-quadratic growth condition with respect to |\∇u|. Such a nonlinear parabolic system corresponds to a stochastic differential game with N players. We obtain the existence of bounded weak solutions and prove regularity results in Sobolev spaces for the Dirichlet problem.

", url = "http://www.mat.uc.pt/preprints/eng\_2018.html", note = "" }