Morse-Smale index theorems for elliptic boundary deformation problems
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Publication:432437
DOI10.1016/j.jde.2012.04.008zbMath1245.35020OpenAlexW2064898360MaRDI QIDQ432437
Francesca Dalbono, Alessandro Portaluri
Publication date: 4 July 2012
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2012.04.008
Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) (Semi-) Fredholm operators; index theories (47A53) Lagrangian submanifolds; Maslov index (53D12)
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Cites Work
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- Fredholm-Lagrangian-Grassmannian and the Maslov index
- Dual semigroups and second order linear elliptic boundary value problems
- On the Morse index in variational calculus
- Spectral flow and bifurcation of critical points of strongly-indefinite functionals. I: General theory
- The Morse index theorem in Hilbert space
- A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds
- An infinite-dimensional Evans function theory for elliptic boundary value problems
- Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel
- Minimal varieties in Riemannian manifolds
- Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems
- The Spectral Flow and the Maslov Index