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Multiple positive radial solutions for Dirichlet problem of the prescribed mean curvature spacelike equation in a Friedmann–Lemaître–Robertson–Walker spacetime
- Source :
- Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 16, Pp 1-19 (2024)
- Publication Year :
- 2024
- Publisher :
- University of Szeged, 2024.
-
Abstract
- In this paper, we consider the radially symmetric spacelike solutions of a nonlinear Dirichlet problem for the prescribed mean curvature spacelike equation in a Friedmann–Lemaître–Robertson–Walker spacetime. By using a conformal change of variable, this problem can be translated an equivalent problem in the Minkowski spacetime. By using the lower and upper solution method, fixed point, a priori bounds and topological degree method, we obtain the existence, nonexistence and multiplicity of radially symmetric spacelike solutions.
Details
- Language :
- English
- ISSN :
- 14173875
- Volume :
- 2024
- Issue :
- 16
- Database :
- Directory of Open Access Journals
- Journal :
- Electronic Journal of Qualitative Theory of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f08de5f8e44c88bb38f1de05d29da6
- Document Type :
- article
- Full Text :
- https://doi.org/10.14232/ejqtde.2024.1.16