Interior gradient estimates for graphic submanifolds with high codimensions
Tom 121 / 2018
                    
                    
                        Annales Polonici Mathematici 121 (2018), 231-242                    
                                        
                        MSC: Primary 53A07.                    
                                        
                        DOI: 10.4064/ap171107-22-7                    
                                            
                            Opublikowany online: 28 September 2018                        
                                    
                                                Streszczenie
Relying on interior gradient estimates by M.-T. Wang [Amer. J. Math. 126 (2004), 921–934], we obtain estimates for general graphic submanifolds with high codimensions. This can also be seen as a generalization of the classical interior gradient estimate for the hypersurface equation to the case of high codimensions.