2 papers
math.AP2023
Multiplicity of Positive Solutions of Nonlinear Elliptic Equation with Gradient Term
Fei Fang, Zhong Tan, Huiru Xiong
In this paper, we consider the following nonlinear elliptic equation with gradient term: \[ \left\{ \begin{gathered} - Δu - \frac{1}{2}(x \cdot \nabla u) + (λa(x)+b(x))u = βu^q +u^…
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 will be considered \begin{equation*} -Δ_{\mathbb{B}^N} u=f(x,u), \mathrm{in} \ \mathbb{B}^N.\eqno{(1)} \…