Characteristic classes of Monge–Ampère equations

Author(s):  
L Zilbergleit
1998 ◽  
Vol 5 (5) ◽  
pp. 401-414
Author(s):  
M. Bakuradze

Abstract A formula is given to calculate the last n number of symplectic characteristic classes of the tensor product of the vector Spin(3)- and Sp(n)-bundles through its first 2n number of characteristic classes and through characteristic classes of Sp(n)-bundle. An application of this formula is given in symplectic cobordisms and in rings of symplectic cobordisms of generalized quaternion groups.


2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Limei Dai

AbstractIn this paper, we study the Monge–Ampère equations $\det D^{2}u=f$ det D 2 u = f in dimension two with f being a perturbation of $f_{0}$ f 0 at infinity. First, we obtain the necessary and sufficient conditions for the existence of radial solutions with prescribed asymptotic behavior at infinity to Monge–Ampère equations outside a unit ball. Then, using the Perron method, we get the existence of viscosity solutions with prescribed asymptotic behavior at infinity to Monge–Ampère equations outside a bounded domain.


2019 ◽  
Vol 114 (3) ◽  
pp. 343-352
Author(s):  
Norm Levenberg ◽  
Sione Ma’u
Keyword(s):  

1979 ◽  
Vol 29 (1) ◽  
pp. 85-92 ◽  
Author(s):  
Stavros Papastavridis

2015 ◽  
Vol 423 (1) ◽  
pp. 94-105 ◽  
Author(s):  
Per Åhag ◽  
Urban Cegrell ◽  
Hoàng Hiệp Phạm
Keyword(s):  

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