Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
From MaRDI portal
Publication:2535887
DOI10.1007/BF00281503zbMath0184.32803OpenAlexW2038964238MaRDI QIDQ2535887
Publication date: 1969
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00281503
Related Items (81)
Unnamed Item ⋮ A gradient bound for free boundary graphs ⋮ Asymptotic behaviour of minimal graphs over exterior domains ⋮ Volume growth and Bernstein theorems for translating solitons ⋮ Minimal varieties ⋮ Sub-Riemannian calculus on hypersurfaces in Carnot groups ⋮ A priori interior gradient bounds for solutions to elliptic Weingarten equations ⋮ The Dirichlet problem for the prescribed curvature equations ⋮ A Faber-Krahn inequality for solutions of Schrödinger's equation on Riemannian manifolds ⋮ Minimal Graphic Functions on Manifolds of Nonnegative Ricci Curvature ⋮ Explicit gradient estimates for minimal Lagrangian surfaces of dimension two ⋮ Entire unbounded constant mean curvature Killing graphs ⋮ Recent rigidity results for graphs with prescribed mean curvature ⋮ Superfici cartesiane di area minima ⋮ Asymptotic Dirichlet problems in warped products ⋮ On the analyticity of generalized minimal surfaces ⋮ Liouville type theorems and Hessian estimates for special Lagrangian equations ⋮ How a minimal surface leaves a thin obstacle ⋮ Regular versus singular solutions in quasilinear indefinite problems with sublinear potentials ⋮ A Bernstein type theorem for self-similar shrinkers ⋮ Uniform a priori estimates for a class of horizontal minimal equations ⋮ A fractional Michael-Simon Sobolev inequality on convex hypersurfaces ⋮ Regularity Theory for Local and Nonlocal Minimal Surfaces: An Overview ⋮ Gradient estimates of mean curvature equations with Neumann boundary value problems ⋮ Well-posedness and dynamic properties of solutions to a class of fourth order parabolic equation with mean curvature nonlinearity ⋮ Principe du maximum local et solutions généralisées de problèmes du type hypersurfaces minimales ⋮ Interior gradient estimates for graphic submanifolds with high codimensions ⋮ Entire bounded constant mean curvature Killing graphs ⋮ Unnamed Item ⋮ Maximum principle gradient estimates for the capillary problem ⋮ Gradient estimates for capillary-type problems via the maximum principle ⋮ Bernstein-type techniques for 2D free boundary graphs ⋮ Liouville-type theorems for minimal graphs over manifolds ⋮ Liouville type theorems for the minimal surface equation in half space ⋮ Characterizing the formation of singularities in a superlinear indefinite problem related to the mean curvature operator ⋮ Entire solutions of quasilinear elliptic equations ⋮ Existence results for the nonlinear Hodge minimal surface energy ⋮ Lipschitz regularity for orthotropic functionals with nonstandard growth conditions ⋮ The classical solvability of the contact angle problem for generalized equations of mean curvature type ⋮ Unnamed Item ⋮ Regularity results for nonlocal equations and applications ⋮ Differential properties of solutions of variational problems for functionals of linear growth ⋮ Global estimates of Hölder continuity for a class of divergente-form elliptic equations ⋮ Gradient estimates for semi-linear elliptic equations with prescribed contact angle problem ⋮ Existence, regularity, and boundary behaviour of generalized surfaces of prescribed mean curvature ⋮ \(W^{1,1}_0\) solutions in some borderline cases of Calderón-Zygmund theory ⋮ Dirichlet boundary values on Euclidean balls with infinitely many solutions for the minimal surface system ⋮ Submanifolds immersed in Riemannian spaces endowed with a Killing vector field: nonexistence and rigidity ⋮ Global components of positive bounded variation solutions of a one-dimensional indefinite quasilinear Neumann problem ⋮ Harnack's inequalities for solutions to the mean curvature equation and to the capillarity problem ⋮ Pseudo solutions of the time-dependent minimal surface problem ⋮ Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system ⋮ Positive solutions of a one-dimensional indefinite capillarity-type problem: a variational approach ⋮ Regularity and singularity estimates on hypersurfaces minimizing parametric elliptic variational integrals ⋮ Existence and non-existence of minimal graphic and p-harmonic functions ⋮ A sharp Bernstein-type theorem for entire minimal graphs ⋮ Bernstein type properties of two-sided hypersurfaces immersed in a Killing warped product ⋮ Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem ⋮ Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation ⋮ Minimal cones and the Bernstein problem ⋮ The two hyperplane conjecture ⋮ Harnack's inequality for elliptic differential equations on minimal surfaces ⋮ Interior curvature estimates for hypersurfaces of prescribed mean curvature ⋮ The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones ⋮ Solutions généralisées de certaines équations du type hypersurfaces minima ⋮ Gradient estimates and mean curvature ⋮ Non-parametric minimal surfaces with discontinuous and thin obstacles ⋮ Infinite boundary value problems for surfaces of constant mean curvature ⋮ The weighted Sobolev and mean value inequalities ⋮ Un principio di massimo forte per le frontiere minimali e una sua applicazione alla risoluzione del problema al contorno per l'equazione delle superfici di area minima ⋮ Regular versus singular solutions in a quasilinear indefinite problem with an asymptotically linear potential ⋮ Il problema di dirichlet per l’equazione delle superfici minime ⋮ Some rigidity results for minimal graphs over unbounded Euclidean domains ⋮ On the geometry of submanifolds in certain warped products ⋮ Harnack type inequality for quasilinear elliptic equations on hypersurfaces with prescribed mean curvature ⋮ Gradient estimates for a class of elliptic systems ⋮ \(\lambda\) minimizing currents ⋮ A Bernstein result for energy minimizing hypersurfaces ⋮ Regularity results for some 1-homogeneous functionals ⋮ Gradient estimates of mean curvature equations with semi-linear oblique boundary value problems ⋮ Bifurcation of positive solutions for a one-dimensional indefinite quasilinear Neumann problem
Cites Work
- New estimates for equations of minimal surface type
- Addendum to `A priori estimates for solutions of the minimal surface equation'
- Diseguaglianze di Sobolev sulle ipersuperfici minimali
- Una maggiovazione integrale per le curvature delle ipersuperfici minimali
- Normal and integral currents
- A priori estimates for solutions of the minimal surface equation
- Variational problems of minimal surface type. I
- On equations of minimal surface type
- On Harnack's theorem for elliptic differential equations
- On new results in the theory of minimal surfaces
- A Property of Minimal Surfaces
- Unnamed Item
This page was built for publication: Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
