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Spectrum, bifurcation and hypersurfaces of prescribed k-th mean curvature in Minkowski space.
- Source :
-
Asymptotic Analysis . 2024, Vol. 136 Issue 3/4, p257-289. 33p. - Publication Year :
- 2024
-
Abstract
- By bifurcation and topological methods, we study the existence/nonexistence and multiplicity of one-sign or nodal solutions of the following k-th mean curvature problem in Minkowski spacetime r N − k v ′ 1 − v ′ 2 k ′ = λ N C N k r N − 1 H k (r , v) in (0 , R) , | v ′ | < 1 in (0 , R) , v ′ (0) = v (R) = 0. As a previous step, we investigate the spectral structure of its linearized problem at zero. Moreover, we also obtain a priori bounds and the asymptotic behaviors of solutions with respect to λ. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09217134
- Volume :
- 136
- Issue :
- 3/4
- Database :
- Academic Search Index
- Journal :
- Asymptotic Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 175396949
- Full Text :
- https://doi.org/10.3233/ASY-231877