Title of article
On the multiplicity of solutions of a nonlinear elliptic problem on Riemannian manifolds
Author/Authors
Vieri Benci ، نويسنده , , Claudio Bonanno، نويسنده , , Anna Maria Micheletti، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
26
From page
464
To page
489
Abstract
We show that the number of solutions of a nonlinear elliptic problem on a Riemannian manifold depends
on the topological properties of the manifold. In particular we consider the Lusternik–Schnirelmann
category and the Poincaré polynomial of the manifold.
© 2007 Elsevier Inc. All rights reserved
Keywords
Riemannian manifold , Lusternik–Schnirelmann category , Nonlinear elliptic equation , Bump solutions
Journal title
Journal of Functional Analysis
Serial Year
2007
Journal title
Journal of Functional Analysis
Record number
839502
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