Special Session 108: 

Weak solutions for (p(x),q(x))-Laplacian equations with critical frequency

Antonella Nastasi
University of Palermo
Italy
Co-Author(s):    
Abstract:
We prove an existence result of weak solution for a (p(x), q(x))-elliptic equation. We consider potential terms with some regularities. We use variational tools based on the critical point theory, but we do not impose any Ambrosetti-Rabinowitz type conditions on the reaction term.