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Stability and instability of solutions of semilinear problems with Dirichlet boundary condition on surfaces of revolution
- Source :
- Electronic Journal of Qualitative Theory of Differential Equations, Vol 2016, Iss 95, Pp 1-12 (2016)
- Publication Year :
- 2016
- Publisher :
- University of Szeged, 2016.
-
Abstract
- We consider the equation $\Delta u+f(u)=0$ on a surface of revolution with Dirichlet boundary conditions. We obtain conditions on $f$, the geometry of the surface and the maximum value of a positive solution in order to ensure its stability or instability. Applications are given for our main results.
- Subjects :
- surface of revolution
stability or instability of solutions
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 14173875
- Volume :
- 2016
- Issue :
- 95
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Journal of Qualitative Theory of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.70cc3954ad430b8c09b9a5e85fa755
- Document Type :
- article
- Full Text :
- https://doi.org/10.14232/ejqtde.2016.1.95