Special Session 93: Recent trends in elliptic and parabolic equations

Bounded solutions for Leray-Lions equations of $(p, q)-$type with potentials

Dimitri Mugnai
Tuscia University
Italy
Co-Author(s):    
Abstract:
We consider some classes of quasilinear elliptic equation in $R^N$ driven by Leray-Lions operators of $(p, q)-$type in presence of radial or unbounded potentials. By using a variational approach in intersections of Banach spaces introduced by Candela and Palmieri and some extensions of related results by Boccardo, Murat and Puel, we show the existence of entire bounded solutions.