On the Dirichlet problem for general augmented Hessian equations
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Publication:2184712
DOI10.1016/j.jde.2020.04.004zbMath1441.35136arXiv1903.12410OpenAlexW3015453356MaRDI QIDQ2184712
Neil S. Trudinger, Feida Jiang
Publication date: 29 May 2020
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.12410
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96)
Related Items (14)
On the solutions to weakly coupled system of \(\boldsymbol{k_i}\)-Hessian equations ⋮ Positive solutions of singular \(k_i\)-Hessian systems ⋮ On a class of Hessian type equations on Riemannian manifolds ⋮ Existence of entire radial solutions to Hessian type system ⋮ Existence and nonexistence of entire \(k\)-convex radial solutions to Hessian type system ⋮ On the viscosity approach to a class of fully nonlinear elliptic equations ⋮ Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates ⋮ The multiplicity of radial \(k\)-convex solutions for an augmented Hessian equation ⋮ Existence results for the \(k\)-Hessian type system with the gradients via \(\mathbb{R}_+^n\)-monotone matrices ⋮ A class of singular \(k_{i}\)-Hessian systems ⋮ Existence of positive solutions for a singular Hessian equation with a negative augmented term ⋮ Entire subsolutions of a kind of \(k\)-Hessian type equations with gradient terms ⋮ On estimates for augmented Hessian type parabolic equations on Riemannian manifolds ⋮ Admissible solutions to augmented nonsymmetric \(k\)-Hessian type equations I. The \(d\)-concavity of the \(k\)-Hessian type functions I.
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