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Multiplicity of solutions of a zero mass nonlinear equation on a Riemannian manifold
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Multiplicity of solutions of a zero mass nonlinear equation on a Riemannian manifold

Daniela Visetti
Journal of Differential Equations, Vol.245(9), pp.2397-2439
245
2008
DOI: https://doi.org/10.1016/j.jde.2008.03.002
Handle:
https://hdl.handle.net/10863/3440

Abstract

Elliptic equations on manifolds Morse theory Ljusternik-Schnirelmann category Multiplicity of solutions
The relation between the number of solutions of a nonlinear equation on a Riemannian manifold and the topology of the manifold itself is studied. The technique is based on Ljusternik-Schnirelmann category and Morse theory. © 2008 Elsevier Inc. All rights reserved.
url
http://www.sciencedirect.com/science/article/pii/S0022039608001101View

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