1 citations · 1 across the 4 of their papers we have counts for
4 papers
Some Quantitative Properties of Solutions to the Buckling Type Equation
Long Tian, Xiaoping Yang
In this paper, we investigate the quantitative unique continuation, propagation of smallness and measure bounds of nodal sets of solutions to the Buckling type equation $\triangle^…
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…
On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds
Kang-Hai Tan, Xiao-Ping Yang
We study some sub-Riemannian objects (such as horizontal connectivity, horizontal connection, horizontal tangent plane, horizontal mean curvature) in hypersurfaces of sub-Riemannia…