Existence and uniqueness of solution for a singular elliptic differential equation

In this article, we are concerned about the existence, uniqueness, and nonexistence of the positive solution for: −Δu−12(x⋅∇u)=μh(x)uq−1+λu−up,x∈RN,u(x)→0,as∣x∣→+∞,\left\{\begin{array}{l}-\Delta u-\frac{1}{2}\left(x\cdot \nabla u)=\mu h\left(x){u}^{q-1}+\lambda u-{u}^{p},\hspace{1.0em}x\in {{\mathbb...

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Bibliographic Details
Main Authors: Gu Shanshan, Yang Bianxia, Shao Wenrui
Format: Article
Language:English
Published: De Gruyter 2024-02-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2023-0126