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Oblique boundary value problems for augmented Hessian equations I
Bulletin of Mathematical Sciences, 2018 In this paper, we study global regularity for oblique boundary value problems of augmented Hessian equations for a class of general operators. By assuming a natural convexity condition of the domain together with appropriate convexity conditions on the ...
Feida Jiang, Neil S. Trudinger
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Parabolic Hessian Equations Outside a Cylinder
Mathematics, 2022 In this article, we mainly review the parabolic Hessian equation on the exterior region. The existence and uniqueness of solutions with asymptotic properties to the exterior problem of the parabolic Hessian equation were obtained by using the Perron ...
Limei Dai, Xuewen Guo
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Hessian Equations with Elementary Symmetric Functions [PDF]
Communications in Partial Differential Equations, 2006 22 pages, revised version, accepted by Comm.
Hongjie Dong
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Isoperimetric inequalities for -Hessian equations
Advances in Nonlinear Analysis, 2012 We consider the homogeneous Dirichlet problem for a special -Hessian equation of sub-linear type in a -convex domain , . We study the comparison between the solution of this problem and the (radial) solution of the corresponding problem in a ball having ...
Mohammed Ahmed +2 more
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The Neumann problem of Hessian quotient equations
Bulletin of Mathematical Sciences, 2021 In this paper, we obtain some important inequalities of Hessian quotient operators, and global C2 estimates of the Neumann problem of Hessian quotient equations. By the method of continuity, we establish the existence theorem of k-admissible solutions of
Chuanqiang Chen, Dekai Zhang
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Regularity of degenerate Hessian equations [PDF]
Calculus of Variations and Partial Differential Equations, 2019 25 ...
Dinew, Sławomir +2 more
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Quasiconvex Functions and Hessian Equations [PDF]
Archive for Rational Mechanics and Analysis, 2003 Let \(S^{n\times n}\) denote the set of symmetric matrices. A continuous function \(f:S^{n\times n}\rightarrow\mathbb{R}\) is said to be quasiconvex (according to \textit{C. B. Morrey jun.} [Pac. J. Math. 2, 25--53 (1952; Zbl 0046.10803)]) if for any \(A\in S^{n\times n}\) and any smooth compactly supported function \(\varphi:\Omega\rightarrow\mathbb{R}
Faraco, Daniel, Zhong, Xiao
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Generalised solutions of Hessian equations [PDF]
Bulletin of the Australian Mathematical Society, 1997 We introduce a definition of generalised solutions of the Hessian equation Sm(D2u) = f in a convex set ω ⊂ ℝn, where Sm(D2u) denotes the m-th symmetric function of the eigenvalues of D2u, f ∈ Lp(ω), p ≥ 1, and m ∈ {1, …, n}. Such a definition is given in the class of semi-convex functions, and it extends the definition of convex generalised solutions ...
COLESANTI, ANDREA, SALANI, PAOLO
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Reduced Dynamic Modeling for Heavy-Duty Hydraulic Manipulators With Multi-Closed-Loop Mechanisms
IEEE Access, 2020 A reduced dynamic modeling approach is introduced to systematically establish explicit closed-form dynamic equations for the main motion system of a heavy-duty hydraulic manipulator with multi-closed-loop mechanisms.
Yi Zhang, Wenhua Ding, Hua Deng
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