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

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

2007-07-06

arxiv.org/abs/0707.0976v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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