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arXiv · 2012.00306

Generalized Donaldson's functionals and related nonlinear partial differential equations

Chuanjing Zhang·Xi Zhang
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Abstract

In this paper, we introduce a family of generalized Donaldson's functional on holomorphic vector bundles, whose Euler-Lagrange equations are a vector bundle version of the complex $k$-Hessian equations. We also discuss the uniqueness of solutions to these equations.

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Chuanjing Zhang, Xi Zhang. 2020-12-01. Generalized Donaldson's functionals and related nonlinear partial differential equations. https://arxiv.org/abs/2012.00306

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