Stable type solutions of the complex Laplacian operators on Hermitian manifolds

DOI10.1007/s00025-021-01512-4zbMath1484.53076OpenAlexW3199552739MaRDI QIDQ2242446

Xiongliang Wang

Publication date: 9 November 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01512-4

zbMATH Keywords

Gauduchon metricHermitian manifoldsChern curvature tensorcomplex Laplacian operatorsstable-type solutions

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Elliptic equations on manifolds, general theory (58J05) Rigidity results (53C24) Local differential geometry of Hermitian and Kählerian structures (53B35) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Stable solutions of elliptic equations on Riemannian manifolds
• A family of operator splitting methods revisited
• La 1-forme de torsion d'une variété hermitienne compacte
• On a semilinear diffusion equation on a Riemannian manifold and its stable equilibrium solutions
• Compact Hermitian manifolds of constant holomorphic sectional curvature
• On stable solutions for boundary reactions: a De Giorgi-type result in dimension \(4 + 1\)
• A Liouville theorem on complete non-Kähler manifolds
• Complex Monge-Ampère equations and totally real submanifolds
• Stable solutions to semilinear elliptic equations are smooth up to dimension \(9\)
• Ricci curvatures on Hermitian manifolds
• Instability results for an elliptic equation on compact Riemannian manifolds with non-negative Ricci curvature
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

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