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.
Visetti, D. (2008). Multiplicity of solutions of a zero mass nonlinear equation on a Riemannian manifold. JOURNAL OF DIFFERENTIAL EQUATIONS, 245(9), 2397-2439 [10.1016/j.jde.2008.03.002].
Multiplicity of solutions of a zero mass nonlinear equation on a Riemannian manifold
Visetti D
2008
Abstract
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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