Quaternionic Monge-Ampère equations
Copyright policy )Quaternionic Monge-Ampère equations
The main result of this paper is the existence and uniqueness of solution of the Dirichlet problem for quaternionic Monge-Ampere equations in quaternionic strictly pseudoconvex bounded domains in H^n. We continue the study of the theory of plurisubharmonic functions of quaternionic variables started by the author at [2].
48 pages. The definition of quaternionic Hessian is replaced with the transposed matrix as it should be
Complex Monge-Ampère operators, quaternions, Matrices over special rings (quaternions, finite fields, etc.), Mathematics - Complex Variables, Nonlinear elliptic equations, Monge-Ampère equations, Mathematics - Analysis of PDEs, FOS: Mathematics, plurisubharmonic functions, Complex Variables (math.CV), Plurisubharmonic functions and generalizations, Analysis of PDEs (math.AP)
Complex Monge-Ampère operators, quaternions, Matrices over special rings (quaternions, finite fields, etc.), Mathematics - Complex Variables, Nonlinear elliptic equations, Monge-Ampère equations, Mathematics - Analysis of PDEs, FOS: Mathematics, plurisubharmonic functions, Complex Variables (math.CV), Plurisubharmonic functions and generalizations, Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).34 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!