Universal estimates and Liouville theorems for superlinear problems without scale invariance
Résumé
We revisit rescaling methods for nonlinear elliptic and parabolic problems and show that, by suitable modifications, they may be used for nonlinearities that are not scale-invariant even asymptotically and whose behavior can be quite far from power like.
In this enlarged framework, by adapting the doubling-rescaling method from [
We illustrate our approach by a number of examples, which in turn give indication about the optimality of the estimates and of the assumptions.