Multiplicity of solutions of a zero mass nonlinear equation on a Riemannian manifold
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SubjectMultiplicity of solutions; Ljusternik-Schnirelmann category; Morse theory; Elliptic equations on manifolds
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.
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