Geometric properties of solutions of the Levi-equation

DOI10.1007/BF01766155zbMath0681.35017MaRDI QIDQ1823382

Giuseppe Tomassini

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

geometric propertieshypersurfaceLevi curvatureLevi equation

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Local differential geometry (53B99) Qualitative properties of solutions to partial differential equations (35B99)

Related Items

Pseudoconvex fully nonlinear partial differential operators: strong comparison theorems, Double ball property for non-divergence horizontally elliptic operators on step two Carnot groups, A sphere theorem for a class of Reinhardt domains with constant Levi curvature, Weak solutions for the Levi equation and envelope of holomorphy, Unnamed Item, Integral formulas for a class of curvature PDE's and applications to isoperimetric inequalities and to symmetry problems, Non-divergence equations structured on Hörmander vector fields: heat kernels and Harnack inequalities, Nonlinear equations related to the Levi form, Unnamed Item, The Levi Monge-Ampère equation: smooth regularity of strictly Levi convex solutions, The Role of Fundamental Solution in Potential and Regularity Theory for Subelliptic PDE, \(C^\infty\) regularity of solutions of the Levi equation, Heat Kernels in Sub-Riemannian Settings, Proprieta’ geometriche delle soluzioni dell’equazione di Levi

Cites Work

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• Komplex-analytische Blätterung reeller Hyperflächen im \(C^n\)
• Differentiable manifolds in complex Euclidean space
• Local complex foliation of real submanifolds
• Envelopes of Holomorphy of Certain 2-Spheres in C 2*
• Elliptic Partial Differential Equations of Second Order