Work

Existence and uniqueness of radial solutions for elliptic equations with nonlinear gradient terms

Year: 2025

Type: article

Abstract: In this paper, we discuss the existence and uniqueness of radial solutions of the elliptic equation with nonlinear gradient term $$ \left \{ \textstyle\begin{array}{l} -\triangle u = f\big(|x|,\;u,\;\frac{x}{|x|}\cdot \nabla u\big), \qquad x\in \Omega , \\ u|_{\partial \Omega}=0\,, \end{array}\displaystyle \right . $$ where $\Omega =\{x\in \mathbb{R}^{N}:\;r_{1}<|x|

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02155-y

Authors: Xiaoya Liu, Yongxiang Li

Institution: Northwest Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funder: National Natural Science Foundation of China