Existence of viscosity multi-valued solutions with asymptotic behavior for Hessian equations

DOI10.1186/S13661-014-0165-8zbMath1304.35210OpenAlexW2097914547WikidataQ59323249 ScholiaQ59323249MaRDI QIDQ481537

Yongqiang Fu, Xianyu Meng

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0165-8

zbMATH Keywords

asymptotic behaviorPerron methodHessian equationmulti-valued solutionprescribed behavior at infinity

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Viscosity solutions to PDEs (35D40)

Cites Work

• Existence of multi-valued solutions with asymptotic behavior of Hessian equations
• Multi-valued solutions to Hessian equations
• Some multi-valued solutions to Monge-Ampère equations
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• 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
• Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation
• Existence of viscosity solutions for Hessian equations in exterior domains
• A level set method for the computation of multivalued solutions to quasi-linear hyperbolic PDEs and Hamilton-Jacobi equations
• The Dirichlet problem for the prescribed curvature equations
• Multivalued solutions to the eikonal equation in stratified media
• TWO MOMENT SYSTEMS FOR COMPUTING MULTIPHASE SEMICLASSICAL LIMITS OF THE SCHRÖDINGER EQUATION

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