On the regularity of the complex Hessian equation
Copyright policy )On the regularity of the complex Hessian equation
This note aims to investigate the regularity of a solution to the Dirichlet problem for the complex Hessian equation, which has a density of the m m -Hessian measure that belongs to L q L^q , for q ≤ n m q\leq \frac nm .
- Umeå University Sweden
- Jagiellonian University Poland
Mathematics - Differential Geometry, Primary 32U05, 31C45, 35B35, Secondary 32Q26, 53C55, 35J60, Mathematics - Complex Variables, Global differential geometry of Hermitian and Kählerian manifolds, Nonlinear elliptic equations, stability, pluripotential theory, Mathematics - Analysis of PDEs, \(m\)-subharmonic function, Differential Geometry (math.DG), Notions of stability for complex manifolds, FOS: Mathematics, \((\omega,m)\)-subharmonic function, Complex Variables (math.CV), Plurisubharmonic functions and generalizations, Stability in context of PDEs, Other generalizations (nonlinear potential theory, etc.), Analysis of PDEs (math.AP)
Mathematics - Differential Geometry, Primary 32U05, 31C45, 35B35, Secondary 32Q26, 53C55, 35J60, Mathematics - Complex Variables, Global differential geometry of Hermitian and Kählerian manifolds, Nonlinear elliptic equations, stability, pluripotential theory, Mathematics - Analysis of PDEs, \(m\)-subharmonic function, Differential Geometry (math.DG), Notions of stability for complex manifolds, FOS: Mathematics, \((\omega,m)\)-subharmonic function, Complex Variables (math.CV), Plurisubharmonic functions and generalizations, Stability in context of PDEs, Other generalizations (nonlinear potential theory, etc.), Analysis of PDEs (math.AP)
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