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Weak solutions of hessian equations
Communications in Partial Differential Equations, 1997We 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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Pogorelov type C2 estimates for Sum Hessian equations and a rigidity theorem
Journal of Functional Analysis, 2023Changyu Ren
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On a power-type coupled system of k-Hessian equations
Quaestiones Mathematicae, 2021Chenghua Gao
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On the Dirichlet problem for general augmented Hessian equations
Journal of Differential Equations, 2020Feida Jiang, Neil S Trudinger
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A coupled system of k‐Hessian equations
Mathematical Methods in the Applied Sciences, 2021Meiqiang Feng, Xuemei Zhang
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Radial symmetry and monotonicity of the positive solutions for k-Hessian equations
Applied Mathematics Letters, 2023Lihong Zhang
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The Dirichlet Problem for Degenerate Hessian Equations
Communications in Partial Differential Equations, 2005Xu-Jia Wang
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Oblique boundary value problems for augmented Hessian equations II
Nonlinear Analysis: Theory, Methods & Applications, 2017Feida Jiang, Neil S Trudinger
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Existence and boundary asymptotic behavior of large solutions of Hessian equations
Nonlinear Analysis: Theory, Methods & Applications, 2019Dongsheng Li
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Existence and nonexistence of subsolutions for augmented Hessian equations
Discrete and Continuous Dynamical Systems, 2020Limei Dai
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