Results 1 to 10 of about 1,227,664 (287)
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
doaj +5 more sources
k-Hessian curvature type equations in space forms [PDF]
Electronic Journal of Differential Equations, 2022 In this article, we study closed star-shaped (eta, k)-convex hypersurfaces in space forms satisfying a class of k-Hessian curvature type equations. Firstly, using the maximum principle, we obtain a priori estimates for the class of Hessian curvature ...
Jundong Zhou
doaj +4 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
Radial solutions for fully nonlinear elliptic equations of Monge–Ampère type
Boundary Value Problems, 2021 First, the symmetry of classical solutions to the Monge–Ampère-type equations is obtained by the moving plane method. Then, the existence and nonexistence of radial solutions in a ball are got from the symmetry results.
Limei Dai, Huihui Cheng, Hongfei Li
doaj +1 more source
Gradient estimate of the solutions to Hessian equations with oblique boundary value
Advanced Nonlinear Studies, 2022 In this paper, we study Hessian equations with the prescribed contact angle boundary value or oblique derivative boundary value and finally derive the a priori global gradient estimate for the admissible solutions.
Wang PeiHe
doaj +1 more source
Asymptotic mean-value formulas for solutions of general second-order elliptic equations
Advanced Nonlinear Studies, 2022 We obtain asymptotic mean-value formulas for solutions of second-order elliptic equations. Our approach is very flexible and allows us to consider several families of operators obtained as an infimum, a supremum, or a combination of both infimum and ...
Blanc Pablo +3 more
doaj +1 more source
Unilateral Global Interval Bifurcation for the Hessian Equation and Its Applications
Discrete Dynamics in Nature and Society, 2020 In this paper, we establish a unilateral global bifurcation result from the interval for the k-Hessian equations with nondifferentiable nonlinearity. By applying the above result, we shall prove the existence of the principal half-eigenvalues for the ...
Wenguo Shen
doaj +1 more source
Hessian equations of Krylov type on compact Hermitian manifolds
Open Mathematics, 2022 In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix.
Zhou Jundong, Chu Yawei
doaj +1 more source