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Equivalence classes of the second order ODEs with the constant Cartan invariant
Invariant Equivalence Problem Ordinary Differential Equation Point transformation Painleve equation Emden equation
2011/7/6
Second order ordinary differential equations that possesses the constant invariant are investigated. Four basic types of these equations were found. For every type the complete list of nonequivalent e...
The optimal constant in the $L^2$ Folland-Stein inequality on the quaternionic Heisenberg group
Yamabe equation quaternionic contact structures
2010/12/7
We determine the best (optimal) constant in the L2 Folland-Stein inequality on the quaternionic Heisenberg group and the non-negative functions for which equality holds.