2007 Conference on Variational and Topological Methods: Theory, Applications,
Numerical Simulations, and Open Problems. 
Electron. J. Diff. Eqns., Conference 18 (2010), pp. 15-22

Title: On the number of nodal solutions for a nonlinear elliptic 
       problem on symmetric Riemannian manifolds

Authors: Marco Ghimenti (Univ. di Milano Bicocca, Italy)
         Anna Maria Micheletti (Univ. di Pisa, Italy)
 
Abstract: 
 We consider the problem
 $$
 -\varepsilon^2\Delta_g u+u=|u|^{p-2}u
 $$ 
 in a symmetric Riemannian manifold $(M,g)$.
  We give a multiplicity result for
 antisymmetric changing sign solutions.

Published July 10, 2010.
Math Subject Classifications: 35J60, 58G03.
Key Words: Riemannian manifolds; nodal solutions; topological methods.