The exterior Dirichlet problem for fully nonlinear elliptic equations related to the eigenvalues of the Hessian
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Publication:2438110
DOI10.1016/j.jde.2014.01.011zbMath1288.35271OpenAlexW2108880716MaRDI QIDQ2438110
Publication date: 10 March 2014
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2014.01.011
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Viscosity solutions to PDEs (35D40) Monge-Ampère equations (35J96)
Related Items
Asymptotic behavior of solutions of Monge-Ampère equations with general perturbations of boundary values ⋮ The exterior Dirichlet problem for the homogeneous complex \(k\)-Hessian equation ⋮ Parabolic Hessian equations outside a bowl-shaped domain ⋮ On the exterior Dirichlet problem for Hessian quotient equations ⋮ On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations ⋮ Asymptotic expansion at infinity of solutions of Monge-Ampère type equations ⋮ The asymptotic behavior of viscosity solutions of Monge-Ampère equations in half space ⋮ On the exterior Dirichlet problem for special Lagrangian equations
Cites Work
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- The Dirichlet problem for Hessian quotient equations in exterior domains
- On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains
- Partial decay on simple manifolds
- Perron's method for Hamilton-Jacobi equations
- The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
- Calibrated geometries
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres
- On the Dirichlet problem for Hessian equations
- A Bernstein problem for special Lagrangian equations
- The space of parabolic affine spheres with fixed compact boundary
- The Bernstein problem for affine maximal hypersurfaces
- On the improper convex affine hyperspheres
- Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
- Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
- ON DEGENERATE NONLINEAR ELLIPTIC EQUATIONS
- A priori estimate for convex solutions to special Lagrangian equations and its application
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- SOLUTION OF THE DIRICHLET PROBLEM FOR SOME EQUATIONS OF MONGE-AMPÈRE TYPE
- Complete affine hypersurfaces. Part I. The completeness of affine metrics
- A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations
- User’s guide to viscosity solutions of second order partial differential equations
- Weak solutions of hessian equations
- An extension to a theorem of Jörgens, Calabi, and Pogorelov
- Necessary and sufficient conditions on existence and convexity of solutions for Dirichlet problems of Hessian equations on exterior domains
- Optimal regularity for convex strong solutions of special Lagrangian equations in dimension 3
- Some aspects of the global geometry of entire space-like submanifolds
