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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.

35J60 Nonlinear elliptic equations
35J20 Variational methods for second-order elliptic equations
47J30 Variational methods involving nonlinear operators
Full Text: DOI
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