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Existence of positive solutions of elliptic equations with Hardy term

Authors :
Huimin Yan
Junhui Xie
Source :
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 1, Pp 1-14 (2024)
Publication Year :
2024
Publisher :
University of Szeged, 2024.

Abstract

This paper is devoted to studying the existence of positive solutions of the problem: \begin{equation} \begin{cases}\label{0.1}\tag{$\ast$} -\Delta u=\frac{u^{p}}{|x|^{a}}+h(x,u,\nabla u), & \mbox{in} \ \Omega,\\ u=0, & \mbox{on}\ \partial\Omega,\\ \end{cases} \end{equation} where $\Omega\subset \mathbb{R}^{N}(N\geq3)$ is an open bounded smooth domain with boundary $\partial\Omega$, and $1

Details

Language :
English
ISSN :
14173875
Volume :
2024
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Electronic Journal of Qualitative Theory of Differential Equations
Publication Type :
Academic Journal
Accession number :
edsdoj.9195a07641fc4827a06634f2ce63a2f7
Document Type :
article
Full Text :
https://doi.org/10.14232/ejqtde.2024.1.1