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Boundedness and regularity with nonlinear dependence of Hessian and gradient
, Article Scientia Iranica ; Volume 15, Issue 6 , 2008 , Pages 553-557 ; 10263098 (ISSN) ; Nojumi, M. H ; Sharif University of Technology
Sharif University of Technology
2008
Abstract
Sufficient 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. © Sharif University of Technology