Fang Wang

collaborators

3 papers

math.DG2026

Gap Phenomenon for Yamabe Type Problems of $M^{m} \times T^{n - m}$

Fang Wang, Zhixin Wang

We prove that if $(M^{m}, h)$ is a Yamabe metric, then the product metric $h + g_{flat}$ on $M^{m} \times T^{n - m}$ is also a Yamabe metric whenever the flat torus $T^{n - m}$ is…

math.AP2025

Ground state and multiple solutions for modified autonomous fourth-order elliptic equations with Berestycki-Lions type conditions

Lifeng Yin, Fan Wang

This article establishes the existence of a ground state and infinitely many solutions for the modified fourth-order elliptic equation: \[ \begin{aligned} \left\{ \begin{array}{ll}…

math.DG2025

Sanghoon Lee, Fang Wang

In this paper, we prove a rigidity theorem for PoincarÃ©-Einstein manifolds whose conformal infinity is a flat Euclidean space. The proof relies on analyzing the propagation of cur…

Gap Phenomenon for Yamabe Type Problems of Mm×Tn−m

Ground state and multiple solutions for modified autonomous fourth-order elliptic equations with Berestycki-Lions type conditions

Rigidity of PoincarÃ©-Einstein manifolds with flat Euclidean conformal infinity

Gap Phenomenon for Yamabe Type Problems of $M^{m} \times T^{n - m}$