| Abstract: |
| A motonicity trick due to Struwe and Jeanjean is a powerful tool for functionals of class $C^1$
when it is hard to check the Palais-Smale condition.
However, some functionals corresponding to equations appearing in physics or geometry are not of class $C^1$.
Szulkin extended the mountain pass and symmetric mountain pass theorem due to Ambrosetti and Rabinowitz into nonsmooth functionals.
The aim of this talk is to provide an extension and an application of the monotonicity trick for nonsmooth functionals
in a setting which is close to Szulkin`s setting.
In particular, we consider Born-Infeld type equations and prove the existence of infinitely many solutions.
This talk is based on joint work with Jaeyoung Byeon, Andrea Malchiodi and Luciano Mari. |
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