Curvature of Level Curves of Harmonic Functions
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Publication:3950788
DOI10.4153/CMB-1983-066-4zbMath0489.30020MaRDI QIDQ3950788
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Publication date: 1983
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Capacity and harmonic measure in the complex plane (30C85) Geometric function theory (30C99)
Related Items (18)
Curvature estimates for the level sets of solutions to a class of Monge-Ampère equations ⋮ The convexity of the level sets of maximal strictly space-like hypersurfaces defined on 2-dimensional space forms ⋮ On the microscopic spacetime convexity principle for fully nonlinear parabolic equations II: Spacetime quasiconcave solutions ⋮ Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces ⋮ Gaussian curvature estimates for the convex level sets of minimal graphs revisited ⋮ Curvature estimate of steepest descents of 2-dimensional maximal space-like hypersurfaces on space forms ⋮ Some geometrical properties of convex level sets of minimal graph on 2-dimensional Riemannian manifolds ⋮ Topological bounds for Fourier coefficients and applications to torsion ⋮ On convexity of level sets of \(p\)-harmonic functions ⋮ The geometric properties of harmonic function on 2-dimensional Riemannian manifolds ⋮ The convexity and the Gaussian curvature estimates for the level sets of harmonic functions on convex rings in space forms ⋮ Convexity of level sets and a two-point function ⋮ Convexity of level sets of minimal graph on space form with nonnegative curvature ⋮ Geometric properties of level curves of harmonic functions and minimal graphs in 2-dimensional space forms ⋮ The concavity of the Gaussian curvature of the convex level sets of \(p\)-harmonic functions with respect to the height ⋮ Gauss curvature estimates for the convex level sets of a minimal surface immersed in \(\mathbb R^{n+1}\) ⋮ Superharmonicity of curvature function for the convex level sets of harmonic functions ⋮ Curvature estimates in dimensions 2 and 3 for the level sets of $p$-harmonic functions in convex rings
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