Multiple positive solutions of superlinear elliptic problems with sign-changing weight. (English) Zbl 1210.35089
Summary: We study the existence of multiple positive solutions for a superlinear elliptic PDE with a sign-changing weight. Our approach is variational and relies on classical critical point theory on smooth manifolds. A special care is paid to the localization of minimax critical points.
MSC:
| 35J60 | Nonlinear elliptic equations |
| 35J20 | Variational methods for second-order elliptic equations |
| 47J30 | Variational methods involving nonlinear operators |
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