Special Session 66: Geometric insights in Partial Differential Equations: advances and challenges

Integrability results for solutions to equations of n--Laplacian type
Luigi D`Onofrio
Universita` di Napoli Parthenope
Italy
Co-Author(s):    
Abstract:
There is an increasing interest in finding optimal conditions ensuring regularity of solutions to n-Laplacian type equations, so aims of this talk are: to give a complete picture of recent results of integrabilty type in different classes of function spaces and under quite general assumptions and to study the optimality of the estimates found in the setting of Orlicz spaces and in the class of rearrangement invariant spaces