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Weak solutions of hessian equations

Communications in Partial Differential Equations, 1997
We consider the existence, uniqueness and Holder regularity of weak solutions of Hessian equations, determined by the elementary symmetric functions, with Lp inhomogeneous terms. The notion of weak solution is defined by approximation and our treatment draws on the classical theory, together with recent Lp estimates resulting from our isoperimetric ...
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On a power-type coupled system of k-Hessian equations

Quaestiones Mathematicae, 2021
Chenghua Gao
exaly  

On the Dirichlet problem for general augmented Hessian equations

Journal of Differential Equations, 2020
Feida Jiang, Neil S Trudinger
exaly  

A coupled system of k‐Hessian equations

Mathematical Methods in the Applied Sciences, 2021
Meiqiang Feng, Xuemei Zhang
exaly  

The Dirichlet Problem for Degenerate Hessian Equations

Communications in Partial Differential Equations, 2005
Xu-Jia Wang
exaly  

Oblique boundary value problems for augmented Hessian equations II

Nonlinear Analysis: Theory, Methods & Applications, 2017
Feida Jiang, Neil S Trudinger
exaly  

Existence and boundary asymptotic behavior of large solutions of Hessian equations

Nonlinear Analysis: Theory, Methods & Applications, 2019
Dongsheng Li
exaly  

Existence and nonexistence of subsolutions for augmented Hessian equations

Discrete and Continuous Dynamical Systems, 2020
Limei Dai
exaly  

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