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math.AP2022★ 2 cited
On the exterior Dirichlet problem for Hessian type fully nonlinear elliptic equations
Xiaoliang Li, Cong Wang
We treat the exterior Dirichlet problem for a class of fully nonlinear elliptic equations of the form with prescribed asymptotic behavior at infinity. The equa…
math.AP2022★ 6 cited
The quasilinear Schrödinger--Poisson system
Yao Du, Jiabao Su, Cong Wang
This paper deals with the --Schrödinger--Poisson system \begin{eqnarray*} \left \{\begin{array}{ll} \displaystyle -Δ_p u+|u|^{p-2}u+λϕ|u|^{s-2}u=|u|^{r-2}u,&\mathrm{in} \ \m…
math.AP2022
Liouville property and existence of entire solutions of Hessian equations
Cong Wang, Jiguang Bao
In this paper, we establish the existence and uniqueness theorem for entire solutions of Hessian equations with prescribed asymptotic behavior at infinity. This extends the previou…