2 papers
math.AP2014
Some existence and nonexistence results for a Schrödinger-Poisson type system
Yutian Lei
In this paper, we study the Schrödinger-Poisson system $$ \left \{ \begin{array}{l} -Δu=\sqrt{p}u^{p-1}v, \quad u>0 \quad in \quad R^n, -Δv=\sqrt{p}u^p, \quad v>0 \quad in \quad R^…
math.AP2014
Finite energy solutions and critical conditions of nonlinear equations in
Yutian Lei
This paper is concerned with the critical conditions of nonlinear elliptic equations with weights and the corresponding integral equations with Riesz potentials and Bessel potentia…