A non-smooth three critical points theorem for general hemivariational inequality on bounded domains. (English) Zbl 1474.49022
Summary: In this paper we are concerned with the study of a hemivariational inequality with nonhomogeneous Neumann boundary condition. We establish the existence of at least three solutions of the problem by using the nonsmooth three critical points theorem and the principle of symmetric criticality for Motreanu-Panagiotopoulos type functionals.
MSC:
| 49J40 | Variational inequalities |
| 47J20 | Variational and other types of inequalities involving nonlinear operators (general) |
| 47J30 | Variational methods involving nonlinear operators |
| 35J35 | Variational methods for higher-order elliptic equations |
| 35J66 | Nonlinear boundary value problems for nonlinear elliptic equations |
| 49J52 | Nonsmooth analysis |
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