| Abstract: |
| In this talk we study a parametrized Kirchhoff type equation with two degeneracy points. The existence of two $H_0^1(\Omega)$-norm ordered solutions is established for small value of the parameter via a careful analysis of the fiber maps associated to the energy functional. As a consequence we show existence of multiple or even infinitely many solutions to degenerate Kirchhoff equations. Some applications are given.
Based on the paper: F. Faraci, K. Silva, Ordered solutions for degenerate Kirchhoff problems, submitted. |
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