Fei Fang

activity

20112026

most citedInfinitely many non-radial sign-changing solutions for a Fractional Laplacian equation with critical nonlinearity

8 citations · 8 across the 9 of their papers we have counts for

collaborators

10 papers

math.AP2026

Fučik spectrum for the operator with rapidly increasing weight and applications

Jinzi Bai, Fei Fang

In this paper, we study the Fučik spectrum for the operator with rapidly increasing weight, which is defined as a set $Σ$ comprising those $(α, β) \in R^{2}$ such that \begi…

math.AP2022

Weighted Sobolev Space and Hyperbolic Laplacian Equations I

Fei Fang, Zhong Tan, Huiru Xiong

In this paper, the following problem in the hyperbolic space $B^{N}$ will be considered \begin{equation*} -Δ_{\mathbb{B}^N} u=f(x,u), \mathrm{in} \ \mathbb{B}^N.\eqno{(1)} \…

math.AP2020

Global existence and finite time blow-up for the heat flow of H-system with constant mean curvature

Fei Fang, Yannan Liu

In this paper, we use the modified potential well method to study the long time behaviors of solutions to the heat flow of H-system in a bounded smooth domain of $R^{2}$ . Global exis…

math.AP2018

The energy identity of Sacks-Uhlenbeck operator and infinitely many solutions for Brezis-Nirenberg problem

Fei Fang

Let $Ω$ be a bounded smooth domain in $R^{N}$ with $N \geq 3$ , $1 < α$ , $2^{*} = \frac{2 N}{N - 2}$ and ${u_{α}} \subset H_{0}^{1, 2 α} (Ω)$ be a critical point of the functional \be…

math.AP2018

The cone Moser-Trudinger inequalities and their applications

Fei Fang, Chao Ji

In this article, we firstly study the cone Moser-Trudinger inequalities and their best exponents $α_{2}$ on both bounded and unbounded domains $R_{+}^{2}$ . Then, using the con…

math.AP2016

Standing waves for the Chern-Simons-Schrodinger equation with critical exponential growth

Chao Ji, Fei Fangb

In this paper, by combing the variational methods and Trudinger-Moser inequality, we study the existence and multiplicity of the positive standing wave for the following Chern-Simo…

math.AP2014★ 8 cited

Infinitely many non-radial sign-changing solutions for a Fractional Laplacian equation with critical nonlinearity

Fei Fang

In this work, the following fractional Laplacian problem with pure critical nonlinearity is considered \begin{equation*} \left\{ \begin{array}{ll} (-Δ)^{s} u=|u|^{\frac{4s}{N-2s}}u…

math.AP2013

Nontrivial solutions for semilinear elliptic systems via Orlicz-Sobolev theory

Fei Fang

In this paper, the semilinear elliptic systems with Dirichlet boundary value are considered \begin{align} \left\{\begin{array}{ll} -Δv=f(u) & \mathrm{in}\ Ω, -Δu=g(v) & \mathrm{in}…

math.AP2013

On Schrödinger equations with periodic potentials and with nonperiodic nonlinearities

Fei Fang

We consider the Schrödinger equation $- Δ u + V (x) u = f (x, u)$ , where $V$ is periodic and $f$ is non-periodic, 0 is a boundary point of the continuous spectrum of $A := - Δ + V (x)$ . We use M…

math.AP2011

Orlicz-Sobolev versus Holder local minimizer and multiplicity results for quasilinear elliptic equations

Tan Zhong, Fang Fei

We study the following boundary value problem (P)\ \ \ \ \ {-\mathrm{div}(a(|\nabla u|)\nabla u)=f(x,u),\ & in $Ω$ , u=0, & on $\partial Ω$ } with nonhomogeneous principal part. By as…