Sharif University of TechnologyScientia Iranica1026-309815620081201Boundedness and Regularity with Nonlinear Dependence of Hessian and Gradient3083ENB.MehriDepartment of Mathematics,Sharif University of TechnologyM.H.NojumiDepartment of Mathematical Sciences,Sharif University of TechnologyJournal Article20090725Sucient conditions for the boundedness and regularity of a function, whose partial derivatives
satisfy a certain set of equations, are presented. Energy methods are used to establish these
results. The asymptotic behavior of the gradient toward a constant function is also investigated.https://scientiairanica.sharif.edu/article_3083_ca51c20f57ecbef80624ee3a2b69691c.pdf