Weak solutions to the complex Hessian type equations for arbitrary measures

DOI10.1007/s11785-020-01044-9zbMath1453.32040OpenAlexW3107388755MaRDI QIDQ2211100

Saïd Asserda, Hichame Amal, Ayoub El Gasmi

Publication date: 12 November 2020

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-020-01044-9

zbMATH Keywords

Dirichlet problem\(m\)-subharmonic functionscomplex Hessian equations\(m\)-hyperconvex domainmaximal \(m\)-subharmonic function

Mathematics Subject Classification ID

Plurisubharmonic functions and generalizations (32U05) Currents (32U40) Other partial differential equations of complex analysis in several variables (32W50) General pluripotential theory (32U15)

Related Items

Hölder continuity for solutions of the complex Hessian type equation, Complex Hessian-type equations in the weighted \(m\)-subharmonic class, 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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