Weak solutions to the complex Monge–Ampère equation on hyperconvex domains

DOI10.4064/ap112-3-3zbMath1308.32044arXiv1708.00355OpenAlexW2335000651MaRDI QIDQ2925543

Slimane Benelkourchi

Publication date: 16 October 2014

Published in: Annales Polonici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00355

zbMATH Keywords

Dirichlet problemplurisubharmonic functionscomplex Monge-Ampère operator

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Plurisubharmonic functions and generalizations (32U05)

Related Items (6)

Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets ⋮ The complex Monge-Ampère type equation for \(\mathcal{F}\)-plurisubharmonic functions ⋮ Weak solutions to the complex Hessian type equations for arbitrary measures ⋮ Hölder continuity for solutions of the complex Monge-Ampère type equation ⋮ Weak solutions to the complex \(m\)-Hessian type equation on open subsets of \(\mathbb{C}^n\) ⋮ Weak solutions to the complex \(m\)-Hessian type equations for arbitrary nonnegative Radon measures on open subsets of \(\mathbb{C}^n\)

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