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Existence of positive solutions of elliptic equations with Hardy term
- 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
- Subjects :
- a priori estimates
hardy term
positive solutions
Mathematics
QA1-939
Subjects
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