We study a semilinear elliptic problem on a compact Riemannian manifold with boundary, subject to an inhomogeneous Neumann boundary condition. Under various hypotheses on the nonlinear terms, depending on their behaviour in the origin and infinity, we provemultiplicity of solutions by using variational arguments.
- Multiple solutions
- Neumann problem
- Riemannianmanifold with boundary
- Sublinearity at infinity
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