| Abstract: |
| In this talk we will present some general growth conditions for functionals, including the so-called natural growth, or polynomial, or growth conditions, or even exponential growth, in order to obtain that any local minimizer of the corresponding energy integral is locally Lipschitz continuous. In fact this is the fundamental step for further regularity; i.e., the general growth conditions a posteriori are reduced to a standard growth, with the possibility to apply the classical regularity theory. In other words, we reduce some classes of non-uniform elliptic variational problems to a context of uniform ellipticity.
This is a joint work with Paolo Marcellini and Cintia Pacchiano Camacho. |
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