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