Multiple positive radial solutions for Dirichlet problem of the prescribed mean curvature spacelike equation in a Friedmann-Lemaître-Robertson-Walker spacetime
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 proble...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2024
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Dirichlet-probléma, Friedmann-Lemaître-Robertson-Walker téridő, Differenciálegyenlet - nemlineáris - elliptikus - parciális |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2024.1.16 |
| Online Access: | http://acta.bibl.u-szeged.hu/88818 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 19 |
| ISSN: | 1417-3875 |