Curvature estimates in dimensions 2 and 3 for the level sets of $p$-harmonic functions in convex rings
From MaRDI portal
Publication:2841364
DOI10.1090/S0002-9947-2012-05436-5zbMath1277.35189OpenAlexW1989818543MaRDI QIDQ2841364
Qianzhong Ou, Xi-Nan Ma, Juergen Jost
Publication date: 25 July 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05436-5
Related Items (11)
Curvature estimates for the level sets of solutions to a class of Monge-Ampère equations ⋮ 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 ⋮ On convexity of level sets of \(p\)-harmonic functions ⋮ The convexity and the Gaussian curvature estimates for the level sets of harmonic functions on convex rings in space forms ⋮ Curvature estimates for the level sets of solutions to the Monge-Ampère equation \(\mathrm{det}D^{2}u = 1\) ⋮ Convexity of level sets and a two-point function ⋮ Gaussian curvature estimates for the convex level sets of p-harmonic functions ⋮ 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 \(\mathbb R^{n+1}\) ⋮ Convexity estimates for the Green's function
Cites Work
- On surfaces of stationary area bounded by two circles, or convex curves, in parallel planes
- Rearrangements and convexity of level sets in PDE
- Convexity of solutions of semilinear elliptic equations
- A maximum principle for sums of subharmonic functions, and the convexity of level sets
- Capacitary functions in convex rings
- Elliptic partial differential equations of second order
- Quasi-concavity for semilinear elliptic equations with non-monotone and anisotropic nonlinearities
- On the non-vanishing of the Jacobian of a homeomorphism by harmonic gradients
- An Extended Principle of the Maximum for Harmonic Functions in 3-Dimensions
- A Result Concerning Convex Level Surfaces of 3-Dimensional Harmonic Functions
- Curvature of Level Curves of Harmonic Functions
- Lewy's harmonic gradient maps in higher dimensions
- On new isoperimetric inequalities and symmetrization.
- Convexity properties of solutions to some classical variational problems
- On minimal surfaces bounded by two convex curves in parallel planes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Curvature estimates in dimensions 2 and 3 for the level sets of $p$-harmonic functions in convex rings
