Hölder regularity for solutions to complex Monge–Ampère equations

DOI10.4064/ap113-2-1zbMath1330.32012arXiv1403.3666OpenAlexW2963723611MaRDI QIDQ5499009

Mohamad Charabati

Publication date: 11 February 2015

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

Full work available at URL: https://arxiv.org/abs/1403.3666

zbMATH Keywords

plurisubharmonic functioncomplex Monge-Ampère equationHölder continuity of solutionsstrongly hyperconvex Lipschitz domainmodulus of continuity of solutions

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Pseudoconvex domains (32T99) General pluripotential theory (32U15) Monge-Ampère equations (35J96)

Related Items (11)

Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets ⋮ Hölder continuous solutions of the Monge-Ampère equation on compact Hermitian manifolds ⋮ The eigenvalue problem for the complex Monge-Ampère operator ⋮ On the Hölder continuous subsolution problem for the complex Monge-Ampère equation ⋮ Hölder continuity for solutions of the complex Monge-Ampère type equation ⋮ Hölder regularity of the solution to the complex Monge-Ampère equation with \(L^p\) density ⋮ Local Hölder continuity of solutions of the complex Monge-Ampère equation ⋮ Hölder continuous solutions to the complex Monge-Ampère equations in non-smooth pseudoconvex domains ⋮ Viscosity solutions to parabolic complex Monge-Ampère equations ⋮ On the Hölder continuous subsolution problem for the complex Monge-Ampère equation. II ⋮ On the regularity of complex Hessian equation on m-hyperconvex domain

Cites Work

• The Dirichlet problem for a complex Monge-Ampère equation
• Viscosity solutions to degenerate complex monge-ampère equations
• Hölder continuous solutions to Monge-Ampère equations

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