most citedInfinitely many solutions for Schrödinger-Newton equations

6 citations · 7 across the 3 of their papers we have counts for

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3 papers

math.AP2021★ 1 cited

Improved Beckner's inequality for axially symmetric functions on

Changfeng Gui, Yeyao Hu, Weihong Xie

In this article we present various uniqueness and existence results for Q-curvature type equations with a Paneitz operator on $\s^n$ in axially symmetric function spaces. In partic…

math.AP2021

Improved Beckner's inequality for axially symmetric functions on

Changfeng Gui, Yeyao Hu, Weihong Xie

We show that axially symmetric solutions on to a constant -curvature type equation (it may also be called fourth order mean field equation) must be constant, prov…

math.AP2021★ 6 cited

Infinitely many solutions for Schrödinger-Newton equations

Yeyao Hu, Aleks Jevnikar, Weihong Xie

We prove the existence of infinitely many non-radial positive solutions for the Schrödinger-Newton system $$ \left\{\begin{array}{ll} Δu- V(|x|)u + Ψu=0, &x\in\mathbb{R}^3,\newline…