On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds
We consider the problem $$ -varepsilon^2Delta_g u+u=|u|^{p-2}u $$ in a symmetric Riemannian manifold $(M,g)$. We give a multiplicity result for antisymmetric changing sign solutions.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/18/g1/abstr.html |