Special Session 56: Variational methods for nonlinear PDEs

Existence of solutions to superlinear double phase problems

Angela Sciammetta
University of Palermo
Italy
Co-Author(s):    
Abstract:
The present talk is devoted to the existence and multiplicity of solutions for some classes of double phase problem with a parametric superlinear right-hand side that has subcritical growth. Under very general assumptions on the data, we prove the existence of at least two nontrivial bounded weak solutions to such problem by using variational methods and critical point theory.