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

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

2010-12-27

arxiv.org/abs/1012.5670v1

Electronic Journal of Differential Equations, Conference 18 (2010), pp. 15-22

Mathematics

Analysis of PDEs

Scientific paper

We consider the problem -{\epsilon}^2\Delta_gu+u = |u|^{p-2}u in M, where
(M,g) is a symmetric Riemannian manifold. We give a multiplicity result for
antisymmetric changing sign solutions.

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