67 citations · 81 across the 12 of their papers we have counts for
12 papers
Minkowski problem arising from sub-linear elliptic equations
Dai Qiuyi, Yi Xing
For any bounded convex domain Ωin R^N, we assign a positive finite Borel measure associated with the solution to a su-blinear elliptic equation in Ω. We prove that this measure is…
Positive solutions of inhomogeneous Kirchhoff type equations with indefinite data
Aolin Chen, Qiuyi Dai
Inhomogeneous Kirchhoff type equations with indefinite data are considered. Some necessary and sufficient conditions for the existence of positive solutions of the problem under co…
An iterative method for Kirchhoff type equations and its applications
Qiuyi Dai
This is a new version of our previous work. In this version, we fill a gap included in the original proof of Theorem 1.1 in our previous paper entitled "An iterative method for Kir…
A potential theory for the k-curvature equation
Qiuyi Dai, Xu-jia Wang, Bin Zhou
In this paper, we introduce a potential theory for the k-curvature equation, which can also be seen as a PDE approach to curvature measures. We assign a measure to a bounded, upper…
A priori bounds for positive solutions of Kirchhoff type equations
Qiuyi Dai, Enhao Lan, Feilin Shi
This paper gives a priori estimates for the positve solutions of Kirchhoff type equation without variational structure.
PPW and Chitti type inequalities for the Robin Laplacian operator
Qiuyi Dai, Feilin Shi
In this paper, we prove two results for the Robin eigenvalue problem. One is an upper bound for the ratio of the first two eigenvalues which can be used to recover the PPW conjectu…