29 citations · 41 across the 13 of their papers we have counts for
14 papers
Overdetermined problem for optimal transportation
Qing Zhao, Feida Jiang
In this paper, we establish symmetry results for solutions of overdetermined problems arising in optimal transportation. These problems involve the Monge-Ampère equation with a Dir…
Near Field Refraction Problem With Loss of Energy in Negative Refractive Index Material
Feida Jiang, Haokun Sui
This paper studies the near field refraction problem with loss of energy in negative refractive index material. Based on the relative refractive index , the analysis is categori…
On a class of Cauchy problems with applications in nonlinear partial differential equations
Feida Jiang, Neil S. Trudinger, Qiao-Qiao Xu
In this paper, we investigate the existence and nonexistence of entire solutions to a general class of Cauchy problems in the positive half line. Our results provide a unified appr…
Entire subsolutions of a kind of k-Hessian type equations with gradient terms
Jingwen Ji, Feida Jiang, Mengni Li
In this paper, we consider a kind of -Hessian type equations in , and provide a necessary and sufficient condition of o…
On the solutions to weakly coupled system of -Hessian equations
Jingwen Ji, Feida Jiang, Baohua Dong
In this paper, the existence and multiplicity of nontrivial radial convex solutions to general coupled system of -Hessian equations in a unit ball are studied via a fixed-poin…
On the Dirichlet problem for general augmented Hessian equations
Feida Jiang, Neil S. Trudinger
In this paper we apply various first and second derivative estimates and barrier constructions from our treatment of oblique boundary value problems for augmented Hessian equations…
Oblique boundary value problems for augmented Hessian equations III
Feida Jiang, Neil S Trudinger
In bounded domains, without any geometric conditions, we study the existence and uniqueness of globally Lipschitz and interior strong C^{1,1}, (and classical C^2), solutions of gen…
Interior C^{1,1} regularity of solutions to degenerate Monge-Ampère type equations
Feida Jiang, Juhua Shi, Xiaoping Yang
In this paper, we study the interior C^{1,1} regularity of viscosity solutions for a degenerate Monge-Ampère type equation \det[D^{2}u-A(x, u, Du)]=B(x, u, Du) when B \geq 0 and B^…
On the second boundary value problem for Monge-Ampere type equations and geometric optics
Feida Jiang, Neil S. Trudinger
In this paper, we prove the existence of classical solutions to second boundary value prob- lems for generated prescribed Jacobian equations, as recently developed by the second au…
Oblique boundary value problems for augmneted Hessian equations II
Feida Jiang, Neil S. Trudinger
In this paper, we continue our investigations into the global theory of oblique boundary value problems for augmented Hessian equations. We construct a global barrier function in t…
Oblique boundary value problems for augmented Hessian equations I
Feida Jiang, Neil S. Trudinger
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 condi…
On the Neumann problem for Monge-Ampère type equations
Feida Jiang, Neil S. Trudinger, Ni Xiang
In this paper, we study the global regularity for regular Monge-Ampère type equations associated with semilinear Neumann boundary conditions. By establishing a priori estimates for…
On the Dirichlet problem for a class of augmented Hessian equations
Feida Jiang, Neil S. Trudinger, Xiao-Ping Yang
In this paper, we consider the Dirichlet problem for a new class of augmented Hessian equations. Under sharp assumptions that the matrix function in the augmented Hessian is regula…
On the Dirichlet problem for Monge-Ampere type equations
Feida Jiang, Neil S Trudinger, Xiao-Ping Yang
In this paper, we prove second derivative estimates together with classical solvability for the Dirichlet problem of certain Monge-Ampere type equations under sharp hypotheses. In…