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
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
Journal title :
Journal of Functional Analysis
